I wouldn't cut it off entirely, but reducing it to 26 weeks maximum in a 2 year period (exception for legitimate total disability only, to be determined by a different, qualified examiner every 90 days) would force it to be what it's supposed to be; a way to get through a temporary hardship, instead of a permanent paycheck.
SSDI and TANF + Medicaid, plus reduce the waiting period for OASDI and Medicare to kick in if the medicos will go on record saying te disability will last more than 2 years (the current waiting period). No caretaker stipend - if someone needs to provide extended care let them go to school, get their CNA, and get hired by Medicaid/Medicare to attend to the disabled person. (Sorry, but as it's your kid feeding, dressing, butt-wiping, laundry, grocery shopping and the like are your responsibility. Changing dresings, applying/removing braces, and stuff like that are what CNAs should be getting paid for.)
But getting back to the specific case at the bar - do NOT terminate all residual parental rights. Find them liable to reimburse the state for funds expended in support. And if they cannot/will not find a job within 45 days and start submitting payments, find them in criminal contempt and haul them off to the county farm where they can earn $10/day picking up roadside litter until they get placed in a "real" job through the Work Release program. Send them out 5 1/2 days a week with a bag lunch of 2 green bologna sammiches, a piece of fruit and a pint carton of pretend juice drink. Charge them the discount ($1/day) rate for the ankle bracelet. All wages are paid to the Sheriff's Dept and they are allowed to keep $10/month or 10%, whichever is the lesser amount to a total of $arbitrary number. (95% of the remainder goes towards child support and 5% of that resame remainder goes in a non-interest escrow account till they have $250.00 (or some other arbitrary amount) they will be given to set themselves up with upon release. Evenings and Saturday afternoons are mandatory parenting classes.
The first paragraph above is wishful dreaming at the moment. The second paragraph is pretty much standard.
All you need is a juvenile court judge with the fortitude to do it.
stay safe.