Well, there is a fleet recruitment page down in another area of the forum. There is also a fleet that pretty much all about LGBT as well, it is part of their fleet name.
That aside, my fleet is fairly large, we have a highly open bunch of people who don't really care about who or what you are in any shape or form, your beliefs, etc, as long as respect is shown, we'll respect in return.
We are not overly formal, if you wanna do something, you can go and do something. If there are folks on to do group stuff with, ask, and see if folks wanna do it. You won't have to 'go to Risa and wait for a beam down order' or anything silly like that.