How do i avoid a war?

I have a volatile family...as in explosive. My deadbeat dad (who took a sabbatical from life, dumped me and my mom, and became a long-haul trucker {neither here nor there} ) recently has reentered my life. I'm getting married in the next few years (its complicated by my hubby-to-be being in the Army) and while i will invite him to my wedding Mark (deadbeat) will have no part in it. My problem is I can foresee conflict and lots of it. Either J (fiance) is going to confront Mark about the way that he has treated me for the whole of my life or Mark is going to pitch a hissy fit because all he can do is sit and watch while another man takes his place in all the fatherly wedding day duties. And then there's the possibility that my dad and Mark will have their own cussing match. So how can I do the right thing by inviting him and not have him ruin my wedding day?