I totally agree, it's a disaster. I feel the same way about GridMove, which is the best thing I've been able to find for managing multiple windows on a big display. For some reason, the syntax for defining the grids is so opaque to me that whenever I look at it I feel like I'm trying to read in a dream.
By the way, you can definitely remove those buttons. I don't remember how, but I do remember thinking it took far too long to find the setting to disable them.