To get punk literally seen as a drug would probably take something like the US or UK being a theocratic state. If this was the case, however, the POD would have to be centuries ago, but that would butterfly the existence of punk.
As you say Eigenwelt, banning punk groups would drive most of them underground, where I think they'd actually flourish. Admittedly, there'd be less bands, as some of those with less credible 'punk' credentials (Slaughter & the Dogs, originally a glam band that jumped on the punk bandwagon, for example) would make more mainstream music, but as punk avoids becoming mainstream it probably avoids the 1978/9 burnout seen in OTL, remains a credible means of anti-establishment expression...