here's a pitt and star trek (TOS, not the 2009 reboot) thing where I assign pitt characters a main 1960s star trek character and why (there are only 7 main ST characters, so not every main pitt character will get one)! :)
robby is obviously captain kirk. he is the leader, and he's good at it, as well as being very popular amongst his crew as a rule of thumb. however, he can be prone to moments where he acts in a controversial way that doesn't please everyone around him, and doesn't take into account other's informed opinions before making a choice. he's begrudgingly respected by the higher ups, but butts heads with them a lot over procedure and priorities. he thinks of the collective over the individual most often.
al hashimi is spock (hear me out). although she doesn't fit spock's vulcan philosophy in many ways (she thinks often of the individual over the group, unlike spock), she still has many similarities to him. she is entirely capable of running the cohort in the absence of it's usual leader, and brings with her a skillset that robby doesn't have due to her msf background that can be vital (in the same way spock has the vulcan mind meld etc). she follows procedure to the letter wherever possible, and reacts negatively in situations where she learns others haven't. it takes a great deal for her to bend the rules.
abbot is dr McCoy/bones. he's the closest in the cohort to the captain and leader, and can speak to him casually and reach him in a way others can't. he can tell when something is wrong with the leader when others can't, and can address those issues without fear of hierarchy. he's also hardy and steadfast in his skillset and performs procedures with a high risk rate knowing that he's doing so for the good of the cohort (s1 abbot assisting risky procedures during the mci/donating blood while treating, bones performing surgery during moments where the enterprise is actively under fire).
dana is scotty. she runs a different yet integral part of the cohort, and despite the different areas, she is respected wholeheartedly by robby, as scotty is by kirk. her different area is respected and she's allowed to get on with running that area with little unnecessary interference from the captain. she's serious at times, good in a crisis, and can take charge of more than she should have to should dire situations arise. she can butt heads with the captain also, but the respect between them remains constant. like scotty, she likes her vices to get her through things (dana with her cigarettes, scotty with alcohol).
dennis is chekhov. both (relatively) young members of the cohort, like chekhov, dennis shows a sense of hero-worship towards the captain, viewing him in a very high light and visibly enjoying impressing him. he grows in confidence over time and gradually plays a bigger role in more serious proceedings, trying to model his behaviour after that of the captain. like chekhov, dennis often unfortunately gets the short end of the stick in amusing ways (though dennis is less openly amorous than chekhov).
trinity is sulu. while also on the younger side, she shows much less of a sense of hero worship towards the captain, instead simply having a strong trust towards him, and loyalty to him. she's not, however, someone who will avoid disagreeing with him- she's truthful and follows her gut, and can be blunt. she's best friends with dennis as sulu is with chekhov, and both take on the more teasing and leading role in the friendship. she has a strong sense of justice and isn't afraid to go about getting that justice in unorthodox manners.
samira is uhura. she's kind and patient and has a strong sense of empathy towards those outside of the main cohort, as uhura is with new species that they meet. she has an individual skillset and knowledge area that she uses to the benefit of those around her. they both have a tendency, upon clashing with the captain, to take the criticism without fighting back as opposed to more strongly stating their cases, unless the situation really needs it. they step up under a crisis.