re: What would’ve happened if Britain had surrendered in WWII?

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To answer the OP's question, we would eventually have fought Germany, and both sides would have nuclear weapons.

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That's absolute speculation with little support. If we didn't fight the USSR at a time where we were clearly world enemies with diametrically opposite worldviews and governmental systems then there is no reason to assume we would have eventually fought a National Socialist Germany who had secured itself economic and geopolitical security in the European power structure. Hitler openly expressed desire, both prewar and during the war, to reach a cooperative relationship with the British Empire. There was no "inevitable" war between Hitler's Germany and the West.