1. Stir together goat cheese and next 3 ingredients until smooth; add salt and pepper to taste. If desired, stir in 1 to 2 tsp. water to reach desired consistency. Spoon mixture into a zip-top plastic freezer bag. Snip 1 corner of bag to make a 1/2-inch hole.
2. Cut top from each baby squash, and scoop seeds from bottom, using a small spoon. Pipe cheese mixture into bottom of each squash; place top of squash over filling. Serve immediately.