Right, people have always had a lot of luck using superior technology to force their moral will on the rest of the world. That's never turned out bad for anyone, especially in the Star Trek universe.
Me, I'd just kinda replicate a lot of replicators and send them to all the needy parts in the world complete with the ability to replicate the cure for all known diseases. Then I'd probably just use the Enterprise to explore the universe and have fun. All you can do is give people the means to help themselves, you can't force them to do it, like the old cliche about the horse.
I guess I'd probably also transport all the people out of North Korea's camp 14 into South Korea, and free other political prisoners from tyrants as well. Everything I could do to help people without forcing my will on anyone.
With one exception. I'd transport a lot of money into the homes of David Lynch and other great directors who can't get funding.