What your experiencing is the short throw. The stick travels a very short distance before it triggers a microswitch. If you grew up in the states, it definitely does feel "funny". When I bought mine, I gave them a solid month of play before I abandoned them in favor of dedicated 4 or 8 ways.
I have yet to try the U360, but it sounds like it's the stick people are using for 4 and 8 way games.