yeah but the question was "what would have happened if Hitler won the war" .... oops my bad...you actually answered that in the first sentence.
ps "Luck was on our side" ... umm you mean the allies including the US and the USSR were on your side. Russians alone lost 20 million in that war and did the bulk of the hard yards. US troops turned the tide, .... pretty sure British "luck" had nothing to do with it.
"Luck was on our side" is pretty much a slap in the face of all who died winning that war.
... now where's my anorak....