Actually, I'd argue against the Depression and New Deal doing much. It was WWII.We became an economic superpower after WW2 and the Depression, when the new deal was in place and unions were at their strongest. So I would say the period right after what you are talking about, had a bigger role in US becoming a world power and being what we are today.
Probably the biggest factor is that, at one point, the US was providing the overwhelming supermajority of industrial production until the 1960s. That also bit the US in the rear, because the US didn't invest in new factories with new ideas, while Europe and Japan rebuilt, and that included factories using new approaches. It also included as new business approaches that would better compete with existing US corporations, while US corporations didn't change 'what had worked in the past.'
That's why we started feeling it by the 1970s, and still do. Although ironically enough, with factories shutting down in the '90s with outsourcing now coming back, new factories in the US are more automated as labor costs a lot more than it does in ... say ... China. It's interesting to go through a new/completely remodeled, recent (mid-to-late '10s) car factory.
E.g., C7+ Corvettes (2014+) versus prior generation tooling, a crapload more automation in building. And that was something that hadn't left, although GM uses Corvette as its 'incubator' of what it will do with all models in another generation or two. GE's appliance factories that have returned to the US in the '10s are another.
And semiconductor fabs are returning as well.