The only real answer I can think of is: we don't. Social politics have and will always be around, automatically appearing and arising with any social group.
Ex: the Feminist movement. There has yet to be one clear definition given of what the Feminist movement is, that is accepted by every person who believes they are part of the movement. Upon the surface it seems simple: it's the movement for the liberation and acceptance of women. But who defines "women"?
There are white women and black women and every color of women, and there are straight women and gay women, etc., and then what about transwomen? Are they accepted by everyone in the feminist movement? No. There's no single group called "women" which everyone equally belongs to, and each group within the Feminist movement has its own problems, its own views and its own goals.
Same with the Trans-movement, if there's even such a thing. Lady Amarant, I agree with you, about the best thing that can be done is for leaders of different groups to come and work together toward a common cause, recognising that there will always be differences, and working with each other instead of against each other.
The specifics of the actual labels and terms used are probably as good now as they ever possibly could become, but of course will evolve with the political and social climate of the times. LGBTQ seems, to me at least, to be a satisfactory umbrella term. Or "queer" which is used a lot now. There will never be a time when 100% of the people are happy with whatever term is used.
I don't know, I don't have any answer that others haven't said. But it's still fun to discuss! Lets keep this going...