YABU.
All the people who think the BBC is special, brilliant, and so on, would presumably be happy to pay a subscription fee for it. If they're right, and the majority of the population agrees with them, then it can carry on as usual.
I don't see any justification for forcing people like me, who don't think the BBC is great and don't watch it, to pay the license fee if I want to watch non-BBC channels. Other people enjoying the programming isn't a justification. If I love Sky Sports and happily pay for it, that doesn't give me the right to demand everyone pay, whether or not they like and watch the sports channels. I don't have that right even if my favourite sports channel wouldn't be commercially viable if I didn't force non-viewers to pay for it.