if voting was mandatory in america for all adults you would get more competent people running and third parties carrying elections until the major parties shifted away from extreme positions. you don't need to feed into madness, americans are sane people who want unity and common sense.
it's not hard to do, make voting day a public holiday or put in on a weekend, use stamps on peoples hands or use name-residence registries and discount multiple votes.
this would make american elections harder to buy, and the dollar doesn't buy you what it used to anyway...