Absolutely, the choice and responsibility should be shared
Definitely. I also agree that men who say "I don't want anything to do with raising the kid" should lose the choice at the same time.

I take some exception to the statement "men have not traditionally taken responsibility". Most men are very responsible in such matters, it's the exceptions that make the news. It may be true that most people that have abandoned their responsibilities have traditionally been men, but this does not make it a blanket statement for all, or even most men.