Uninviting My Father to my Wedding

I've always had a bad relationship with my father (he's narcissistic and very sexist). I had a celebration lunch after we announced our engagement and my father completely ruined it. He was so rude to everyone, including my fiance, that the day ended with me crying. I was angry for months afterwards. I try my best to avoid seeing him, but on the rare occasion that I do he goes out of his way to be disrespectful to me or to upset me. We are having a destination wedding in the bahamas and I feel like allowing my dad to come is taking a huge, huge chance that he will purposely do or say rude things to upset me and ruin my wedding like he ruined our celebration lunch. I want to write him a letter telling him why I am uninviting him. The problem is, everyone I talk to in my family about this issue are all concerned about how it will affect my mom to come to my wedding without her husband and they guilt trip me about it. After he ruined my celebration lunch, my brother was completely supportive of me not inviting my dad. But now that many months have gone by his anger toward my father's behavior that day has faded and I feel I have lost his support. Should I just take the chance and allow him to come so that my mother is not upset and I can "keep the peace"? Has anyone else been in this situation?