Gotagoodpoint, a mechalel shabbos or mumar for avodah zara, or one who maintains forbidden hashkofos(even if they have “,rabbi” attached to their name) has the halacha of a goy for wine lechol hadayos. The chazon ish wouldn’t drink from the wine of a student who made a remark that chazal exaggerate about certain things.
Bishul akum is a machloles because some hold the issur is better of chasunos, and there’s no problem with marrying the daughter of one of the above