What it boils down to is that you and the band either agree on what you're going to play and how, or you don't. If you don't, then you should leave and find another band.
It's not a case of right and wrong, just a case of fit. You fit or you don't. If not, leave.
Thats exactly how I see it.
If Im playing with 3 other guys, and those 3 all want to play Rockabilly music, but I dont, then Im not a good fit for this particular group of guys.
Theyre not wrong for wanting to play rockabilly, and Im not wrong for not wanting to play rockabilly. But, I better find another group of people to play with.

