Personally, I think this sounds like your deal more than hers. It doesn't sound like you only have a problem with her affection towards others, but also your affections towards people. How will you feel when her and her father do their first dance at the reception? That is definitely a lot of touching and putting heads on shoulders etc...

I think the more important thing here is to figure out why you can't have those affections around. It would be different if you could show that to others, then it just sounds like a little jealousy. But this sounds like an issue you have with showing affection, not specifically with her. I don't know why but that can be a sign if you can't do more than a quick hug with people you are close to.

And I'm not trying to put you down because i'm the same way and working on it now. I just recently started saying "i love you" to my own parents and it feels weird every time. I can't show affection towards boyfriends around my family and can't show my family affection. All of my family is that way because that's just how we were raised. It's really weird to me that my boyfriend and his sister hug every time they see each other and say I love you to each other because my family just doesn't do that.

But I know that that's my problem. Affection is just a normal emotion and, unless it goes overboard (which it doesn't sound like your fiancee does) then it should actually be embraced. You have a loving woman with a huge heart! That should be the focus here. You have a fiancee that loves her family and wants to show them that. I would be more worried if she acted the way I do around family.