Would you consider this acceptance...?

That really depends on how the dad usually is. If he's a joker and it's a light hearted joke, then yes. If he's usually misogynyic then he probably means it in all seriousness, and it's not acceptable.

Behold, the opposite of a "Trans Exclusionary 'Radical Feminist'"

The "Trans-Inclusionary 'Moderate' Misogynist"

Absolutely. It's a good sign that he's joking around, and the misogyny appears to be tongue-in-cheek.

He's not transphobic, he's "only" misogynistic. Which is only 50% transphobic I suppose

Trans inclusive radical misogyny

Personally I don't, I can see someone not hating that kind of humour as much as me thinking it's funny, in which case I guess it would be.

I’d consider dad to be a cheeky little bastard. Take the W

My parents would say this to jole then ask what my preferred name is. It all depends on your type of relationship and what was cut off.

Acceptance in a dumb dad joke way. Not all dad jokes hit, but for an instant reaction that's pretty accepting, could have been way worse for them.

I'd take a bad taste dad joke over being ostracized by them.

Looks like Trans Inclusive Misogynia unless he's joking

Perception: Dad confirmed that he understood the message, then said "cool", then made some weird joke.

Context: assuming this was really the first time when Dad heard the news.

Interpretation: Dad's reaction is just the beginning of acceptance. More reactions are to come. In order to really accept such a serious news, his emotions must go through all the "stages of grief" (even this isn't exactly a sad news - but the stages are similar) https://en.m.wikipedia.org/wiki/grief

Say the beer has run out but hugs are available. Does he then hug you when you come by?