I haven't been to the local reenactments that featured weddings (a couple of them since I've been taking part). I do know that they were done in the evening (not for the public), and were historically correct as to clothing, vows, etc. We have two chaplains who are both real pastors, and one of them officiated, wearing his 19th century garb.
The main problem would be accomodating 21st century guests (parents, etc.) who are not reenactors, and finding appropriate garb for them.