Its hard to imagine people would pay money to goto WDW just to get drunk and tease young children.
As someone pointed out, everyone is entitled to their fun Disney World vacation.
because of that, the proper thing would have been to ask to move to another table and not to try to get them thrown out.
Removing people from a restaurant for being TRULY drunk and disorderly is one thing. Removing them for being rude and obnoxious is something else again. Had they been getting up out of their seats, walking around to other tables, shouting at the top of their lungs, physically touching others--then sure they could be removed or asked to leave.
But in the situation as presented here--I just can't imagine any CM or manager doing a thing about it except to move the OP to another table.