As a trans person, I can seriously consider your proposal. But I would make one change: there are 'gay' people who are same-sex attracted, and 'gay' people who are same-gender attracted. The former had a historical term 'homosexual' which could be potentially reclaimed, as some people have recently suggested, or a new term could be created if that is considered too historically offensive to reclaim (reclaiming historically offensive words is inherently controversial, and not everyone in the community might be comfortable with it). However the latter do not have any other terms to use. I guess if ‘homosexual’ is reclaimed for the former group, then ‘homogender’ could make sense for the latter group, and both can then co-exist under the gay umbrella. Either way, this issue needs to be resolved.