I see where you are coming from but,
She is currently the sole custodian of the child. So wouldnt it bare to reason that if the child should and is living the same luxury as his father wouldnt that role over to the mother as well by default since she is living with and raising the child full time? You going to have the kid live in a mansion and have the mother live in the gardening shack out back? Over the top example but you get the point.
6k a month is a REALLY nice car and REALLY nice house plus all the ameneties and the kid having everything he needs.
I support my family just fine on alot less and the mom is a druggie loser now that doesnt pay anything and never has. People who piss and moan about not getting child support can kiss my ass.