I’ve only been in Minneapolis for a little bit. According to several taxi drivers and people, there are two areas you want to go out in: updown, and downtown. Uptown is relatively gay, but with plenty of straight people. It’s progressive and modern; good restaurants, good bars, young professionals.
Downtown is more competitive, with larger crowds and more chic places.
Minneapolis is actually a pretty small place. Coming from Chicago, I can see how people would be moving the other way: from Minneapolis, to Chicago to spend a weekend and whatnot. A coworker of mine moved from MSP to Chicago as well, so that is the general trend.