I didn't really get that sense from the film. At one point, Teller even says (paraphrased) to Oppenheimer, "You're not a scientist anymore, you're a politician now." He is portrayed as a manager, not a lone genius.
A significant scene was just about Oppenheimer going on an Avengers style recruiting mission, getting the who's who of scientists on board. I don't think any endeavour before that or after that comes even close to matching the number of brilliant minds working under the same roof to solve a problem. The closest might be Bletchley Park perhaps, though there the only household name amongst those scientists is Alan Turing.
It's probably fair that Turing is the only world famous name, but I don't think the BP museum or authors etc. generally do others any great disservice - the names you mention should be familiar to anyone who's visited.
I can't remember the film though, can believe it was more Turing-oriented.