An extended cab 1500 is around 6500lbs potential with passengers, fuel, cargo.
I would get at least a 9000lb winch, preferably a 12,000lb Warn. It will be slower, but definately pull almost anything. If you run mud a lot, get the M12000. My buddy was stuck in a deep mud pit and two Rams in tandem couldn't budge him with just straps.
Used the M12000 and he got out, barely. Had to anchor the winch truck and he was on dry ground slightly higher than the stuck truck!
A lesser winch would have stalled.