Your D may be mad at "all men" b/c of her break-up with BF. Some girls do that b/c they don't know how to handle their emotions. Or.....your W may have told her how rotten you are to get D on her side. In time, your kids will know the truth, but in the meantime you must keep your dignity and don't cave to emotional things.
Tension is high in the household and this time of year makes it even worse. I know it hurts that your in-laws are being so obvious about excluding you in the cards, etc., but you are a man that can rise above that nonsense and show strength.
Don't you think that your W should be the one to tell the children what "she" is wanting to do? But, you need to be present and make sure they understand that is not what you want.....it is not a joint decision.
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!