I made another batch of the cookies last night just to be sure I didn't do something wrong with the first batch. I used parchment paper for the first batch, and they turned out very thin and soft/mushy until they cooled. Then I ran out of parchment paper, so baked the second batch without the paper to see if I got different results.
Well, I did.
I cooked them a little longer so they wouldn't be mushy, but as you can see, those extra 2 minutes made a world of difference!
Overall I'm calling these FAIL cookies! :) I'm sticking with cupcakes.