There have been many groups along history that have been tortured, killed, humiliated, and have had every attempt to destroy their beliefs be done. However, these groups still follow their beliefs or "choices". Obviously fighting for a God you believe in is different than fighting against what you feel is morally right or not, but there have been many other social moments that have been in a similar situation and stood their ground. I see no reason why LGBT believers should be any different.
I say there may be because i am bi and i am proud of it, yeah im looked down on and descriminated against but how i see it is being in the lgbt community is not who we are, its just who we love and its not right to make fun of us.