This is a gross overgeneralization, and also the biggest fault of the movie. That Zuck's drive to build Facebook is nothing more that petty revenge against women (Erica) and jocks (the Winklevoss twins) is completely unrealistic.
All people who create things, whether it's a website or a screenplay, do it for the love of creating that thing. Creation is its own motivator. Sure, there may be scores to settle in the process -- that's human nature -- but it's never the driver. It's puzzling that Sorkin never made the connection that Zuckerberg is a creative just like him.