I am skeptical of Doctor Strange's skepticism

When I reviewed Captain America: Civil War, I said that "the Marvel cinematic universe may be starting to collapse under its own weight". I probably should have said that "it's starting to buckle under its own weight", since Marvel is still a ways off from anything that resembles collapse. That movie also got better upon repeat viewings, but I feel much the same about the recently-released Doctor Strange. In much the same way that I had suspected that Suicide Squad must have taken place years (or decades) prior to Dawn of Justice, I had also assumed that Doctor Strange must have occurred (at least partly) prior to the events of the first Avengers movie.

The story of Doctor Strange is, after all, essentially a Doubting Thomas story. That would be fine if Doctor Strange were a stand-alone movie, but a Doubting Thomas story is a really difficult thing to buy into within the Marvel cinematic universe. By the beginning of the movie, Stephen Strange (who lives in New York) must surely be aware of (and possibly have first-hand experience with) superhumans since the events of the first Avengers movie. In a world in which the literal Norse God of Thunder Thor has descended from the mystical plane of Asgard, to team up with a gamma-powered Hulk and a super soldier frozen since World War II, to defend New York from an inter-dimensional alien invasion, can you really be all that skeptical of astral projection, alternate dimensions, or even blatant magic?

Avengers Tower is clearly visible.

If Doctor Strange's car accident and physical therapy took place long before the events of the first Avengers, then this skepticism would be excusable. If Strange spent years at Kamar Taj learning magic, while oblivious to the events of the Avengers movies, Winter Soldier, and Civil War, then that would be a satisfactory explanation for his ignorance. But I don't think that's the case. Doctor Strange was tight-lipped when it came to references to the other Marvel movies (potentially for this very reason), but Avengers Tower still shows up in the skyline, and I'm pretty sure there were references to the other super heroes in the first half of the movie. In fact, I'm pretty sure that Strange gets a phone call asking if he'd be willing to treat an Air Force colonel who broke his spine in experimental armor. This must surely be a reference to Rhodes' accident in Civil War.

Strange is asked if he'd be willing to treat Colonel Rhodes after injuries sustained in Civil War.

Maybe I'm being nitpicky, but buy-in is important in fantastical movies like this. But it's hard to buy into Stephen Strange, and it certainly doesn't help that he's an abrasive ass hole and isn't very likeable at the start of the movie...