There's no room for truth and reason here, sorry.
Better to let him fester in his imagination, where his kids don't benefit from their mother having a car to transport them; where she's allowing her kids to starve while spending thousands every month on beauty treatments that actually cost about $30; where he lives in one of the most expensive counties in America, but is outraged child support costs would be adjusted based on the fact; where the mom is spending money allocated for her children on a new boyfriend, while he, the dad, refuses to seek custody of his children, despite the alleged unfit parenting of their mom; where actual dads, the ones who actually live with their children and care for them full time, don't spend just as much on child care.
Let his imagination run wild.