They have ABSOLUTELY NO RIGHT to make their father do this. This is cruel and heartless, and if the father lets his boys get away with this he's nuts.

What really should happen is family counseling. That is the only way this is going to get resolved amicably. A third party must be a mediator and find a way to resolve this issue to both party's agreement. But the Dad had better come out on top with his wife, cause these kids are being BRATS and they're old enough to know better. They must have been ultra spoiled their whole lives to come up with this kind of crap at their ages.
And the father is a WIMP to even have to WONDER what to do!!! I can't believe he can't figure this out on his own. Sheeesh.