It feels very Cheesy and Cringe, almost like a FanFic of OIHS (or those Cheesy isekai school fantasies). Is it the premise of FBMA?
Not saying it's wrong (who don't want to date sexy, furry men :P), but my expectation was quite different coming from OIHS: This can actually be canon if you choose so - since the OIHS Protagonist disappeared at the end, he can return later as another love interest or an antagonist.
That's why I'm asking where FBMA stands.