Do you ever wonder why you want the government to force people to accept you? Wouldn't it be better if you brought so much to the table that people want to voluntarily associate with you? Be better, do better, live better, and people will welcome you
When a neighborhood, a store, a church, or wherever, decides they won't accept a whole group of people, whether it's gay people, trans people, Latinos, women, and so on, it isn't about who the individuals are and what they bring to the table.
What you're describing is a scenario where a gay person has to overachieve in order to be accepted, to hide who they are and instead become a different persona in order to be allowed to stay, to prove to the world that they are deserving of belonging despite their queerness. Yet others who are not queer are not held to this same standard.
I belong to The Church of Jesus Christ of Latter-day Saints which teaches that a person's value is immutable and comes from being children of God. What you're proposing is that being queer diminishes our value and thus we need to work hard in other areas in order to be good enough. That is heresy.
What you don't know is many LGBTQ+ people, especially those who are in the closet or still deal with internalized homophobia, transphobia, etc., are constantly engaged in thinking strategically of how to conceal being queer and how to maintain social approval. Every situation, conversation and social interaction, no matter how big or small, involves being hyper-vigilant – being extremely aware of how they are perceived by others, pushing themselves to do what others define as the “right” thing, and worry about being judged for their "flaw" of being queer. Being always on guard takes a lot of mental energy and is an exhausting way to live. It also means not being vulnerable and not allowing others to get to know the real us, it is only safe for them to know the façade of who we portray. Actually, most queer people, no matter how long they've been out, experience this at times as they have to evaluate the level of safety and acceptance around them, especially with people they don't know well or when they find themselves in new situations.
I know many religious queer people who have gone through a period of trying to be the best, most perfect, most faithful person, and yet it doesn't change the fact that they are LGBTQ nor does it change how others in the faith community accept them as a queer person, and it leads to many negative mental health outcomes like perfectionism, scrupulosity, workaholism, low self-worth and low self-esteem. It also creates a rigid and binary worldview, that either someone is good or bad, and in order not to be bad I have to make it so I 100% fit the definition of what is good. These negative outcomes contribute to mental health disorders such as depression, anxiety disorders, eating disorders and substance abuse disorders, which are manifestations of the trauma queer people experience in a heterosexist world which isn't accepting and loving towards them simply for being queer.
Rather than demand that a queer person be good enough that you can't help but be impressed despite your bias against them, how about you think of the harm that you're inflicting on others and how your attitude keeps you trapped in a world of your own fear and worries. Perhaps check out The Riddle Scale and notice how you are still on the negative side of the ledger if you only tolerate or accept someone if they are impressive enough.
