I happened to talk to a teenage relative about this possibility the other day and she said that she'd be fine with a ban. It seems that it's not as big a deal if everyone's in the same boat. Parents genuinely have a hard time navigating this because drawing a line for their own children has the effect of socially excluding them.
It's not ideal in many senses (what age checks are we talking about here) but its worth thinking about some of the positive effects this might have on the young people growing up in the mess we've made of new media.