You suggested that it "might have been possible" and would have required a "trade-off". That suggests that you didn't understand that it was a real thing which did exist. Given that you also have no understanding of the relative strengths of the respective militaries prior to WW2, that isn't a stretch. You proposed an alliance with Nazis. I don't think you realise how offensive you ought to find that, even as a thought-experiment.
Holy fucking shit, an actual geeky rationalized discussion has occurred. You guys are awesome. I am sorry I cannot contribute on your level, but thank you for your effort.