No. Germany would have attacked Canada and America through Alaska on the West. German and Japanese submarines would have strangled all shipping on the East Coast. The Japanese would have invaded California. We would not have survived.

Uneasy peace probably.

Depends on many things. If the European experts on the bomb got to the US or not, if they were captured then the US would not have got the bomb as quickly as it did, there is a chance Germany would have. Also a sea borne landing would have been very dangerous on a scale required for this. The Royal Navy would not have surrendered and would still be a threat and would have operated from Canada and possibly the US but at the start of WWII the Royal Navy was the largest in the world, the US would get a larger fleet as the war went on. Along with any forces that could have got away they could have been enough of a deterrent for Germany. There were plans in the UK for this eventuality. And there would still be the commonwealth.

So. The US stayed neutral, Hitler would not really like the idea of Japan having power either, it went against his ideals, there could have been an uneasy stand off all waiting for the other to make a move and a belligerent UK in exile and Canada, Australia and New Zealand and the rest of the commonwealth attacking from the sides.

Or not.

When Hitler decided to take on Russia and Stalin that's when he messed up and had he not done that the Allied Powers might not have won the war. The Russian winter and Stalin's troop size is what derailed Hitler's plan from taking over the entirety of Europe and then the rest of the world.

No one can answer that but the manufacturing power of the US was so great it would have been almost impossible for the Axis to beat us. We were only beginning to reach our full potential.

No, there could be no semblance of world peace with a victorious Third Reich.