It isn't a clear choice, because the service they provide is something I didn't have a problem with, and moving would mean extra work and effort I'm not willing to pay. Why am I not willing to pay the price?

Because, as I wrote, I'd have to do the same thing with every other company who's services I use, when I don't agree with their decisions, or find their CEO someone who should be locked away and never spoken of ever again.

If I'm starting to boycot companies based on what they support, then I will do it with all of them, not just a single one. However, that is not possible.

I'm not neutral, either. I'm not going to use GoDaddy for any more domains in the future (partly due to their support for SOPA, partly for other reasons). I just won't move my domains from there, because it's not worth the effort.