Probably won't happen. The head guy at GoDaddy is right-wing and is outspoken enough not to work against what he sees as his own interests.
At best, it will probably turn out like the issue at Whole Foods, formerly as seen as a very left-wing-friendly food store. The CEO gave a right-wing statement on some social policy legislation and got excoriated for his view. Eventually, after enough flaming, he backed down on the statement, but his views didn't change, just the official company line.
Call it cynicism or whatever, but I don't think Bob Parsons is capable of a real change of heart on this matter unless it seriously affects his pocketbook, and even then, he would be a wolf in sheep's clothing.