To get rid of the Xbox image on the splash screen, just move one of the thumb sticks on the game pad. To stop the image from appearing each time you start AH, you'll have to disable the Xbox controller in game.
In game, bring up the clipboard and navigate to the following:
Options-> Controls->Map Controllers
In the drop down menu, select the Xbox controller and check the "Disable Controller" box. With the Xbox controller disabled, the image will no longer appear.