I want to like this, everything is true except the Edison bits. Edison was brilliant, but wasn't much of an inventor. Instead, he was one of the most brilliant IP pirates and self promoters of all times.
Tesla was beyond brilliant. Really he's a staggering figure. He invented virtually everything electrically up until semiconductors. He invented AC current, transformers, distribution, the florescent light bulb, induction motors, wireless power transfer, the transistor, radio transmission, remote control, XRays, and made large contributions to robotics. If you've studied EE, that's pretty much the lions share of everything.
Contrast that with Edison. The lightbulb was invented by Heinrich Goebel in 1854. He tried to sell it to Edison, but Edison turned him down because he didn't see any practical use. Goebel died, and Edision bought the patent of his widow for pennies on the dollar. And Menlo Park wasn't just a shack where Edison experimented, but a full fledged research lab with hundreds of employees. Whenever anyone invented something, Edison would patent it under his own name.
There is one field where Edison did novel work: capital punishment. Edison wanted DC (which is impractical for transmission), Tesla-Westinghouse supported AC. Edison had his lab electrocute animals to show how dangerous the "killing" current was.
Here's Edison electrocuting Topsy the elephant at a worlds fair. When the government came to Edison and asked for a humane method of carrying out the death penalty, Edison suggested AC current. He didn't suggest it because it was a good solution, but because he thought "Westinghousing" criminals was a good PR move.
Edit: also Tesla uses 3 phase AC induction motors on their cars.
http://www.teslamotors.com/roadster/technology/motor