With all respect, I think you're doing a little leaping too, though your intentions are good. If someone thinks that schizophrenic means unemployable, that person is wrong and should be corrected. We shouldn't try to pretend that schizophrenia (and other illnesses) aren't what they are for the sake of the opinions of healthier people.

Here, think of it this way: how would you respond to someone that said, "He's paralyzed from the waist down so he can't control his legs ... and therefore he's unemployable"? (Assuming of course that the job doesn't actually require working legs.)