To do this properly ala the famous EET FUK guitar head....you will need to do the following.
Wood glue will simply not hold that since it sheared in line with the grain. What you'll want to do is get some course thread brass screws that will bridge through the crack for at least 1/4" or so. Use some rubber bands, clamps, whatever to Gorilla glue the joint back together taking care not to have any excess glue gush out and look shitty. If this happens, a little naptha before it dries will clean it up. After it's all dry and set up, leave your clamps of choice on there and drill some pilot holes with sufficient counter-sink so that you can cover them. Drill your pilot holes and clean the residue out. Hand turn your brass screws in until they bottom out. Fill in remaining hole with some wood filler material and refinish the spot.
If some one can still see the spot where you fixed it....kick them in the nuts until they tell you otherwise.
As stated previously, that does look like a clean break and should be a fairly easy repair, but I am not so sure Gorilla glue would be the best adhesive for this application. That stuff expands so much I would be scared it would bubble out overnight and be a pain removing the excess after it is set up. Ask Pharaoh what he uses for his repairs. He da man.