Brody has experience with Liraz's reaction to being called fake. Eddie is lucky that Liraz needs to keep the peace so she can talk to Mr. Crownover.
Brody clearly figures that if he's going to be accused of hiding behind a girl then he might as well go ahead and actually do it. If you're skeptical of his methods, consider that he must have some survival skills given that he acts the way he does and yet is still alive.