For trans people, just say trans-man/trans-women. The particular reason i rejects you suggestion, it's makes everything more ambiguious/unclear unnecessary. Many countries accepted the trans identities of people without making everything confusing. And it's seems working fine.
True. They don't really care about men's issues. Although some of them actually started to see some of men's struggles recently and started to show some empathy. Some of them share some talking points even though that contradicts their tradcon values.