Edward an INTJ? No way. I've read the books (unfortunately), and almost every single thing Edward did irritated me. He's too emotional for an INTJ. I'm thinking he's an SJ though.
The characters are hard to type most of the time because the characters just don't have that much depth and they aren't that well written. Edward's especially difficult because he's designed to be fallen in love with by every teenage girl on the planet.