How do you file your tax return if your spouse owes restitution but it is not suppose to affect you or the kids?

There is something called "Innocent Spouse Relief", which you file on Form 8857. This is a way to request relief from joint liability for tax, interest , penalties on a joint return for items that were incorrectly reported on the joint return. ALSO, there is something called an "Injured Spouse" claim, which you file on Form 8379. Form 8379 is a way to request the division of a tax overpayment according to the proper share of each spouse's contribution.