First of all, Julia is supposed to be a psychiatrist. Not a GP and not someone who specializes in IM, so no, I wouldn't want her as my family physician. She wouldn't have that kind of practice to begin with unless she's got the certification to do those types of medicine. That's not how medicine works.
And no, I wouldn't want her as my doctor--in any capacity. It has more to do with the fact that the Hippocratic Oath seems to be a very casual thing with her than anything else--as prospective patients, we would never know about her misdiagnoses or controversial methods, not unless she'd been sued for malpractice or disciplined by the AMA.
Whether she's a competent shrink or not . . . well, aside from Maggie, we don't have evidence of that. However, even before she honed in on Barnabas, her manner would have put me off.
Luciaphil