I doubt it'll become a topic of conversation what your registrar is..but if it does happen to come up and you happen to say GoDaddy, judging from pg's post above the answer is probably yes, he will hold it against you :)

Funding a company that supports a company that supports SOPA is just one step away from supporting a company that supports SOPA...which in turn is just one step away from supporting SOPA. Scary, isn't it?