One of my favorite Stephen King stories is Firestarter. Its about a girl with powers. She got them because in the '60s, her parents participated in an experiment. A government agency called The Shop was experimenting with psychic drugs. This girl's parents both developed psychic powers, and she inherited them. Her father could push people and make them think whatever he wants them to think. When he gives a cab driver a dollar bill, he makes the cab driver think its a five hundred dollar bill.
The movie Firestarter starred Drew Barrymore, David Keith, Martin Sheen, and George C. Scott. Of course the movie is not as good as the book, but its still pretty good. I bring this up because that's what Push reminded me of. Dakota Fanning is the young girl with powers. Chris Evans plays the girl's father figure, and he also has powers. Just like in Firestarter, there is a government agency that is after them.
I don't know if the makers of Push were influenced by Firestarter or not. They could just as easily be influenced by X-Men or Heroes. The big problem with the movie is its boring. There are a lot of scenes where the main characters just sit around and wonder what to do. The movie is almost 2 hours, and they should have cut it down by about 20 minutes.
There is some cool stuff in the movie. When they are using their powers to fight, it reminds me of playing Force Unleashed. Using 'the force', they pick people up and throw them into walls or off of buildings. There are a couple of guys who can scream so loud it breaks glass and ruptures internal organs. The big final fight at the end of the movie was really cool. I just wish there was more of that in the movie.