The biggest problem is a question that was asked earlier in this thread:
"If all their government assistance ended tomorrow, what would they do?"
One answer is crime. Others would be prostitution, drugs, or worse.
The core issue here is the result of this family being on government assistance for so long. The result is grown adults with no marketable skills, no work history, and who see their disabilities as a means to garner income. The human mind is a powerful thing and if you believe the only way to make ends meet is to have debilitating physical and mental ailments, your body will eventually respond.
This is not to say SSDI should go away or that there aren't real people with real disabilities who have no recourse but to rely on the state. All I'm saying is we should encourage these people to gain and maintain work skills even while collecting disability payments and not completely pulling the rug out from underneath of them when they "earn too much." We want everyone to be productive in some way, if possible, and a system where their very livelihood depends on remaining on government assistance because should they take even a few steps towards helping themselves, a flood of benefits are terminated which de-incentivizes them from trying.
I wouldn't be where I am today without government assistance and I'm happy our country offers it. But it can't be a way of life and we can't make it an "all or nothing" system where the longer people use it, the more trapped they are in that system with little hope of escape.