Anonymity isn't the only value of Bitcoin. There's also the matter of exchanging money electronically without paying fees to banks, Visa, or Mastercard. Regulation might make transacting Bitcoin more expensive but still leave it cheaper than traditional approaches.

I'm not a fan of Bitcoin personally (too much speculation for me to be comfortable using it as a medium of exchange, much less a store of value) but I think people underestimate how badly we're getting screwed by the current payment oligopoly.