Because they didn\'t make it easy enough already ;)
I found this site: http://eclipseone.wordpress.com/2010/03/10/navigate-and-fix-errors-amp-warnings-in-a-class-with-eclipse-keyboard-shortcuts/
It recommends using ctr/cmd + 1 to use the keyboard, this is much better than having to use the mouse, but I'm still looking for a "Just do the right thing most of the time" automatic solution.