I'm not sure one should "make" or "force" their children to do or learn anything. I'm of the school of thought that believes a parent should bide their time; pay attention while being sure to expose the child to plenty of varying things. Sooner or later they will show interest in something, and this is the opportunity to make the study readily available.
Lessons can be expensive. If my daughter wants to learn an instrument, my approach will be hiring professionals to teach her specific songs that she likes until she masters them vs. traditional theory/fingering instruction.
Children should be a part of something, a team of some sort, to learn about human relationships, competition, the glory of winning and the sour tastes of defeat. My mom just went with my flow and things turned out...meh...decently. Cheers!