The Cornell team you're referring to is their club team and NOT the one that plays in the ECAC - just wanted to clear that up for anyone who might be confused here.
Since I have no knowledge about the strength of the Monroe program, it's hard to compare the two. Club level is the lowest of all levels in collegiate sports- in this case hockey. The players at the club level, as you might expect, for the most part lack all the high-end skills. This is not to say that there aren't club-level players that can play. There are and I've seen a couple of them. A few of the more-talented ones even end up playing pro - usually in "A" or "AA" such as the CHL (that's the Central Hockey League) or the SPHL or in some of the European leagues.