Your method of argument relies on lumping all persons into one category. The annoying detail about designing public policy is that policy changes happen on the margin, and it is the marginal cases where moral hazard presents itself first. If you continue to boundlessly extend your empathy for everyone that walks into their doctor's office to anybody that says they have back pain, you will clearly have fraud. And Hale County is clearly a case where this fraud is broadly present. You have presented your argument in the best way to try to lump the fraudsters in with the rest of the empathy-deserving recipients.
When Hale County has 1 in 4 adults on disability, it is beyond evident that the system is not working as intended. Yes, it is distinctly clear that some of those adults should be getting jobs. Your question "What do you want these people to do, manifest new jobs?" implies that this must be some unthinkably cruel thing to believe.
>If your model of this problem is "there's a bunch of people too lazy to work who are freeloading on the public dole" you will be unsuccessful at solving it, because your model is wrong.
Even if freeloading is unsolvable, the moral hazard exists. My primary claim prior to this comment has been limited to the fact that the moral hazard is present. Your argumentative strategy to claim that because the problem isn't solvable, it must not exist, strikes me as dishonest.