TL;DR: AWBU to make our kids do activities when they don't want to?
Longer version: we have two DDs, in Y2 and Y5 respectively. Each is doing a few activities in and after school: swimming, karate, dance (oldest), and an instrument. I'd be open to letting them try other things, although we don't have many other options that work with our schedules. About half of the activities are in school hours, so most of their evenings are free.
Almost every week, they argue about having to do each of these activities. For the most part, they put up with doing them, and they generally report having enjoyed them once they have been, but it's a frustrating battle almost every week.
My main reason for wanting them to do these things is to foster their interests and skills, but I wonder if we will instead end up putting them off organised activities entirely.
Are we doing the wrong thing by making them go despite their protests, or does the end justify the means? If they did quit, how likely is it that they will go back to playing instruments, sports and/or other activities when they are older?