If the police have reason top believe he is there they can make entry even without permission - up to and including kicking in the door.
People who lie to protect him can be charged with criminal offenses as well. Not answering the door may not be a criminal offense, but providing false or misleading info to the cops can be.
Is he really so foolish and narcissistic to think that the warrant will go away if he ignores the court? And, that his family will all risk going to jail just so that he can avoid a situation of his own making?
Your boyfriend is an ass.

