You already have to drop your call letters every few minutes while you're on-air, by FCC regulation. HAM radio transmissions are also subject to FCC restrictions on "obscene or indecent" language.

If it crosses the line where it wouldn't be allowed on over-the-air TV, it's not allowed on HAM radio spectrum. You can report it, and with evidence it can lead to nasty fines and/or revocation of license.