It's one thing to maybe disagree or dislike the anti-vax, but you will never get a situation where an ICU medical professional will refuse to treat them, unless it came to a point the virus mutated so much it was a huge danger to them.
The treating doctor might put on a frown or an unhappy, "thank's for wasting our time", but they won't intentionally leave you to die.
Friday night your local hospital will be full of drunks, drug afflicted and the results of both, far more preventable and facility wasting than covid patients, vaxxed or not. At least lockdown has reduced this as well.