If my kids' dad and I ever do actually get married, we will be having a sort of quaker type wedding. A circle of chairs for just the few closest family and friends, we walk in, no minister, do a quick vows exchange and then on to the party. I would want to have a barn or outside rustic (maybe in a big white tent) type wedding, so no church formalities at all
I say, it's your wedding, do it the way you want for sure!