No, it does not.
First, Veggie defended the reality that the freedom of speech does guarantee the right to hate speech (or at least it should...this is the only thing the Westboro Church people actually comprehend accurately).
The second part of his post is a bit more controversial, but I don't think there's anything inherently bigoted about supporting the stance that the unions that unite a man and woman are different than those that unite a man/man or woman/woman or whatever/whatever. That can be argued on the grounds that the latter unions are undeniably already distinct in nature. Thus, so long as one acknowledges that gays should be guaranteed perfect equality in the eyes of the state, then I'm not sure how you can compellingly allege "bigotry" based on the position (although I would understand if you still suspected that intent/personal belief).