Loosening the head?
Assuming you would want to loosen the head, I am thinking your minimag is stock. If you are using the minimag stock, both switches have to be "on" for it to work. If your minimag head is screwed all the way down, it will lose it's connection with the body and shut the light off.
If you don't want the head to move, throw some teflon tape (non-sticky teflon stuff that pipes are sealed with) Keep wrapping it on the heads until the head becomes very hard to turn.