No, the spouse of a deadbeat, even the billionaire spouse of a deadbeat bears no legal responsibility to pay debts, or child support owed by the deadbeat.

I suggest you plan on never receiving a dime of child support he owes.

Why?

Because there's very little, other than what's being done to make deadbeats cough up the loot.

Sure, he can lose his drivers license, his professional or occupational licenses, his income tax returns, even do a few days in a county jail, maybe get his assets snatched, certain earnings snatched, certain types of pensions and disability payments too (a'small portion of those, about 15% at most) that's about it.

As you've seen, your deadbeat has amassed arrears over $100K, and climbing.

Doubtful you'll ever see $10K, over the next decade, now that dude has a well to do, sugar mama.