Yes and no.Because their community is based on a singular trait and nothing else. It’d be like starting a community over having red hair. People have different lives in spite of that one unifying trait.
I'm among the first to line up and call the Pride movement degenerate and disgusting, but on the other hand I do (albeit unwillingly) see some things we often do have in common.
Even if raised in secular households, almost all of us of a certain age have had direct and very aggressive run ins with the abrahamic religions often leading to hostility to organized religion. Most LGBT over thirty have been the butt of jokes if not the victim of violence for not fitting into the social norms of the time leading to them being more willing than most to cast aside traditions and traditional values. Its not that hard to empathise with marginalised groups or peoples when you have previously been one yourself.
I'm not saying conservative LGB do not exist,they do and I would consider myself among them but theres enough common shared experiences of being the outsider among most of the older of us that they do tend to lean a certain way politically to drive a platform.
That said; Generation Z in the west (ot parts of Europe at least) on the other hand could be the first of us to potentially grow up and live without ever encountering direct powerful open hostility to their existence; I will be interested to see what they become once they grow up out of the tumblr phase.
You'll note I say LGB and exclude the T. I remain constant in the belief that is something radically different to the rest of the movement that should never have been included under the banner in the first place.