would you call Muhammad Ali Cassius Clay because it’s compelling speech for him to “force” people to recognize his chosen name?
No, because that's his name. Individuals may change their name or title for many reasons. He's the same person whether he's called Cassius or Muhammad. Or indeed Jim or Susie or any other name.
But pronouns aren't individual, they're just part of the grammar of our language. Language only works as far as we all agree on the meanings of words. It would break down if enough people redefined enough words and convinced/ forced enough other people to use their inventions.
If people invent new pronouns for themselves and insist that other people use them, that's compelled speech. Same if they use other-sex pronouns for themselves and insist that other people use them, despite not believing that they are the other sex -- that' compelled speech too.