This may not be a popular position, but here goes...
I think sometimes engaged couples (and, mostly, brides) tend to focus on the wedding day being a celebration of them. But, who's doing the celebrating? And why? Isn't it more appropriately a celebration of love, honor and commitment? Isn't it about the joining of two families through these two people? Shouldn't there be some appreciation of the parents and families who love and support this couple and who made these people into someone who someone else will love? If even half these statements are true, then the wedding should include honoring and respecting the love and the families -- and all the parents. Now, I understand and agree that a wedding shouldn't be conducted by committee, much like a marriage shouldn't be, either. Still, there should be respect for opinions from all parents and room for compromise.
If the wedding is "the bride's day", then let her have it on her own. There's no need to invite a hundred people -- just celebrate on your own! Or, if you want an audience, rent a theater and sell tickets. But, if this a story of love and caring that the couple want others to witness and be a part of, then open up the planning a little.
Marriage is a state of shared love, marked by communication, compromise, humor, patience and unity. Shouldn't the wedding be the same?