I am on my first and hopefully last marriage so I can't speak from that point of view of remarriage.
It would seem to me that just as when I got married my wife and I both had some different traditions but once we were married we kept some traditions and combined others and even started our own.
I think it is only fair to start new ones or merge traditions to be fair to everyone involved, especially if there are kids that look forward to certain traditions. I believe I would sit down with my wife and children from both marriages and see what is important to everyone and make compromises.
This was a very good question that I don't believe many people give thought to.