I agree with PashaDog. The Mighty Mouse is not Apples best product. Office Depot had a basic $7 Microsoft mouse that worked as well as the MM (didn't look as neat).
Also check out the trick of holding down the scroll ball to drag the map. Does that work? It does with my mouse.
I started using the windows mode all of the time. I have to trick the window to reproportion by clicking the green (minimize/maximize) button. This allows me to see button over messages at the bottom of the screen.
I personally found that the way I hold and move the mighty mouse was just wrong enough that I was triggering the wrong clicks a lot of the time. I ended up turning off the right-click (and the side buttons) and going back to a one-button configuration (using key combos to simulate a right-click).