My son is on the autism spectrum. He's just 4 now and was diagnosed as level 2, but after 2 years of intense therapy his last evaluation indicated he was "high functioning". Hearing about this doctor is awesome to me because my biggest fear is that my son will not be able to support himself and not happy (all I want is for him to be happy). At least the doctor is successful.
My only advice is to point out the good things you see in him to his patients. Like "yes, he may seem rude but I don't think he means to be - he's so smart he doesn't always realize . . .". Or something to that effect. And it's not untrue. You can work to create a persona around him. I know many doctors who definitely have one. And then maybe his patients will have a narrative to filter their perceptions through.
Just an idea. Good luck! I think you're awesome for caring enough to try something.

Not a doctor but wanting to get back and go to grad school for mathematics but yeah I've had the same problem as he is

Be supportive as you know how to be. He'll get his groove on with his patients, or, more likely, they will adjust to him. Eventually the system will sort of self filter so that he will get tolerant patients (assuming there is any control in that area).

I'm a mid-level in a hospital group. We don't have anyone on the spectrum, but that's a pretty amazing accomplishment.

I agree. It's our job to understand autistic people. This is how nature made us.

I would rather have an autistic doctor than many I have met: refreshingly blunt is so much better than arrogant or patronizing arsehat...

Temple Grandin, [en.wikipedia.org], is a high functioning autistic success story, which is really inspiring. IDK if there is anything in it that can help you. You've probably seen the movie about her.