Certainly I can't imagine ANY trad/Dixie group that would have the nerve to play and sing "Mississippi Mud" with the original words today. And if they did, I'd probably walk out.
But aside from changing mores and changes in what's acceptable, there are songs, or styles, or artists, whose work you just don't particularly care for.
I was taught, that if you are engaged to play the gig (whether paid or unpaid, professional or amateur or even just a jam session), that part of musicianship is to play EVERY SINGLE PIECE as if it were your favorite, and you were just champing at the bit to play it. Give EVERY SINGLE PIECE all you've got, no matter what your personal opinion about it. As I say, in my world that's Musicianship 101, just like showing up on time correctly attired, playing things stylistically accurate, etc.
You never know when there's someone out there in the audience that has waited all night to hear In the Mood or Mustang Sally or Running with the Devil or (yes, even this) Muskrat Love, and when you play it with full ATTENTION and INTENTION, as if you TRULY enjoy it, you'll make their evening.
If you don't want to play the tunes, decline the gig, and find other groups that play different stuff.
If no one in your area plays the stuff you like and avoids the stuff you don't, then I guess you've got to start your own thing.