I would argue that Tuvok is shown struggling with/being defined much more by love than rage.
He almost completely loses his logic in youth bc of a crush he's willing to throw his entire life away for, he'd rather risk death than sleep with someone other than his wife during the pon farr (and only does otherwise bc Tom makes a hologram that looks exactly like her), he talks about missing his family and how deeply ingrained into his identity they are in the same episode he almost adopts an alien child after knowing her like 2 days, and the two episodes in which he's given a love interest have a lot to do with incredible loneliness and yearning for companionship.
Even though there's never any doubt he's going to stay true to T'Pel (despite what anyone else thinks of that decision) he still clearly has some sort of attraction to these women that he's tamping down on/nipping in the bud. The fact that he's decided to remain committed to T'Pel is in and of itself a strong indicator of how much he loves both her and his family. He's on that ship for presumably 70 years and he's ready to spend ALL that time waiting. It could be argued that's not logical, especially when the pon farr will threaten his life every 7 years, but he never budges despite the hardships his being alone seems to bring him.
In contrast, the only episodes I can remember (/srs there may be others I've forgotten) having to do with something close to Tuvok being wrathful or violent are Meld & Random Thoughts:Ā
In 'Meld' it's heavily implied if not outright stated that Tuvok is acting that way bc he's being flooded by SUDER'S violence just as Suder is being heavily influenced by Tuvok's emotional control/self discipline due to the eponymous meld.
The Doctor also temporarily removes Tuvokās ability to control his emotions to reset him back to baseline. So even when Tuvok is behaving angrily/violently in sickbay, itās not to say that this is bubbling just below the surface or that these are his truest thoughts/actions, or even that heād act that way without emotional control on any normal day.
To me it seems more like Suderās violence is flooding him, overwhelming and corrupting his systems to the point that a full reset is necessary. Because itās specifically Suderās violent and irrepressible urge to kill thatās influencing Tuvok in that episode post-mind meld, I believe itād be disingenuous to claim that the thoughts and actions he expresses as a result are true to Tuvok as a character - to say they define him.Ā
(To me itās similar to how Deanna was flooded with another personās negativity in Man of the People, though the comparison is not one-to-one as Deanna didnāt consent to that and this meld was very much wanted. Iām saying that while some of those thoughts might have existed in Deanna beforehand: Like how Alkar seems to prey specifically on women who are attracted to him and thatās why they all become absolutely crazy about him when that feeling is flooded with negativity - it doesnāt mean that the things Deanna does in that episode are the truest expressions of herself.Ā
Deanna may on some level at some point have had errant thoughts about how sheās bored during a session or thinks her client is wrong about something. That doesnāt mean on a normal day, uninfluenced by Alkarās negative waste, these thoughts would balloon into her telling someone else that they need to put up or shut up and stop wasting everybodyās time.
Likewise, Tuvok may have on some level felt that the punishment given to Suder was insufficient for the crime committed, but that doesnāt mean under normal circumstances heād claim that killing him was the correct alternative.)
Furthermore, lines like āI can feel the difference. It is almost as if I can observe the violence inside me without letting it get too close. It is quite remarkable what you Vulcans have learnt to do.ā and āIt must be difficult for you, knowing violence as Iāve known it. [I have studied violence for over a hundred years] Studying it and knowing it are two different things.ā Make it sound as if Tuvok isnāt familiar with actually FEELING whatever violent urges exist within him. It seems more like heās used to viewing them from afar and has no idea what to do when thatās no longer possible. The impression I get is that Suder is introducing him to an entirely new and confusing world from the instant he says he killed someone for no reason.Ā
Itās also important to note that whenever Tuvok brings up these violent urges and the suppression of them, he attributes them to his Vulcan nature. He doesnāt treat them as something aberrant, unique to him, or even something heās worried about being able to control - he has enough confidence in his suppression that heās comfortable melding with a serial killer out of pure curiosity. These donāt seem like the thoughts or actions of someone whoās struggling with or has struggled with violence in the past.Ā
In 'Random Thoughts' there's also no signs I can recall of Tuvok actually struggling with violence or rage more than any other Vulcan. It's within him, yes, but to say he uniquely struggles with it or struggles MOST with it is something I would disagree with. Guill even accuses him of "struggling with violent thoughts" & Tuvok tells him that those thoughts are so under control that they're āunconsciousā to him - implying to me that they're not something he struggles with or is even actively aware of most of the time.Ā
In both the examples of 'Meld' and 'Random Thoughts' itās also important to acknowledge that Tuvok's mind is being tampered with or he's being forced to express violence due to a lack of his normal control. I wouldn't say that that indicates he struggles with these thoughts - only that they're present on some level.
He IS a person who seems more easily irked than say Spock but I wouldn't say that's enough to call him an angry or violent person. TāPol for example is also more irritable than Spock and there are multiple instances of her having full blown arguments or outbursts with others on ENT, yet Iāve never seen her portrayed by fans as an angry or violent person. (Not saying itād be right for her to be portrayed that way or that these portrayals donāt exist, I havenāt seen all content ever created) Yet multiple times I've seen people portray Tuvok as this incredibly angry/violent person whoās just one bad turn away from killing everyone in his line of sight and it DOES read on some level as unintentionally racist to me bc he's played by a black man.Ā
(Crucial Note: This is NOT an accusation in the slightest, I say 'unintentionally' for a reason - we live in a society and itās important to examine biases. When a black character expresses anger or is violent, do you see it as more frightening, less forgivable, more intrinsic to their being than when a white character does? Again, we live in a society where racism is baked into everything, I donāt think someone is A Racist just because they may hold or perpetuate unexamined biases. Iām 100% certain I do as well! Examining these things, being open to and unafraid of learning, and changing one's mind, is lifelong work!)Ā
I just don't personally see anything in canon that'd point to Tuvok being angrier or more violent than other Vulcan we see. Itās possible Iām genuinely missing something but the examples I always see people point to as evidence for him struggling with violence/rage or being a person defined by such emotions are lackluster to me, insufficient.