Not really. It was a lot more intelligent about nuclear politics than I expected from a hollywood movie, but it hews closely to Oppenheimer's viewpoint, so first we're shown all the forces that impelled them to build the bomb, then we're hit with the sense of foreboding and regret after it's been built. There's an insightful line from the villain where he accuses Oppenheimer of wanting to have it both ways, wanting the accolades for winning the war and the moral absolution of opposing proliferation. I don't think the median American moviegoer would absorb its thesis as an anti-nuclear one (and the Barbenheimer meme is probably a good indication of that). I'd still say go see it if the subject interests you.

Is anti-anti-communist, which is not exactly pro-communist

It's pretty neutral on communism, which is probably for the best given that it doesn't understand it at all. Its one attempt to dip a pinky into theory has them quibbling over the translation into English of 'property is theft' from Kapital, which is extremely not where that line comes from and Marx disagreed with it.

Labour organizing and attending CPUSA meetings are shown as broadly good things, but ones which Oppie needs to set aside for the greater good (since they need him to have the best chance of beating the Nazis to the bomb, and the FBI won't give him a security clearance to join Manhattan if he keeps that stuff up). The USSR is even more off-screen than Japan.

I liked it and would recommend it, if youre into or want to get into nuclear politics. It is a really well made film even if it lasts a little long.