I'm in the same age bracket as you, and agree with what you said completely. The big barrier for me was with a lack of mechanical skill, no shops that will work on it, and not much help nearby, it just makes owning an older car a real hassle. If not for a couple of guys that have been real help with this, the Model A might have gone on to another home long ago.
I think that even more important than introducing kids to old cars is that people go out of their way to help the young people who have old cars. Imagine how enthusiastic younger people would be to own and use antique cars if they had actual help from the older guys. I don't mean keyboard help either. I mean REAL help- The kind where you get off your retired butt and drive to the guy's house and help him fix his car.
So, that's my 2 cents. You want young people today to get involved and excited about antique cars? Get off your butt and go help them. Don't just say "well I emailed him with instructions what to do" or "he can rent a trailer, load up his car and bring it over here and work on it". I mean go to them and HELP!
Yea, I'm young compared to most of you guys reading this, but whenever someone needs help with their old car's electrical system, I load up the truck and go to them and fix it, no questions asked. THAT is the real kind of help that will keep the young guys interested and eventually, they will become the old guys helping the young ones that are yet to be born, so set a good example!