I don't want to go to my brother's wedding
Why skip out on such a special day for your brother?
His wife sucks and I don't want to recognize their marriage
It's understandable to not want to support your brother in a marriage you don't approve of, but ultimately it's not your decision. If you refuse to show up to his wedding, you'll look like the bad guy. It's better to suck it up and go and be supportive of your brother.
Meh, I'm still not going.
You should still go. Family should be together during special life events.