Perhaps if France took notice of the blitzkreig before it was too late (As in, their defensive line was overrun), they might have thought about fighting a mobile war as well. Sending a large expeditionary force to combat the Nazis might have helped.
So, maybe when they notice Germany is not digging in for a nice long war with Poland, the Low Countries, it might have a chance on it's own as well.
Britain sends a small E.F. like in OTL, except with another wave arriving sooner, and reinforcing their positions, and then more waves as soon as they can be launched to aid the Allied Troops there.
In a year or so, there are Commonwealth Troops all over Europe, as well as Soldiers from France's Colonies, and of course, the soviets don't like the look of Germany on the defensive, and they want some of that delicious meat pie.
So, Germany is invaded much sooner, and the Cold War Develops with USA/Commonwealth/Europe on one side, USSR/Japan on the other.
Will America still develop the nuclear bomb? Who knows, they were barely in the conflict at all. Japan didn't attack, due to Hitler being unable to declare war on any more people, they knew they wouldn't stand a chance.
Hitler stands trial, the USSR and Japan divy up Asia almost reasonably, and the COAMEUHICOM pools nuclear sciences, pretending to each other to start integrating their power grids (open secret they're all working for the bomb), and as in OTL, someone sells secrets to the Soviets, while somone else sells them to the Japanese.
By the 1960 each of the Three Powers have detonated the bomb, and are all working on the Moon-landing for prestige. The Commonwealth, a bit ahead of everyone else, uses a nuclear-driven launch (IE: Particles are directed to burn the fuel by a particle accelerator shooting up into the air, keeping the reaction going and making sure that the rocket has a reusable way of launch). The treaties like OTL prevent anyone from claiming the moon, but Britain marks out an area for the new Unified Nations Building in the moons soil.
The Americans are next, planting their flag by the English. The French borrow the British Model, and meet up with the Japanese, who waited there for them. Both plant their flags in the designated soil, take some pics being chummy for the plebian populations, and leave, sperately.
The Soviet Union is having a bit of a hard time, their Science Advisor Trofim Lysenko (AKA: OTL 'Gene's don't exist' guy), isn't much of a super-physicist. He is an agricultural major, and sucks up most of the Science funding for the furthering 'Lysenkoism' movement, which lead to the collectivizations.
When they finally get into Space, the West German Government has already been there, having leased (Unlike France, which liscenced and built it's own Particle-Rocket) a P-Rocket from Britain under a payment plan, and planted it's Flag.
Canadian Astronauts go up in a synchronized rocket launch, an astronaut each in both a British flight and the American rocket. Meeting, they shake hands and plant their flag, as well as leave two preserved Maple Leaves on the moon. The missions also leave the first small base, able to support 25 people for 10 weeks.
With the Space Race getting under way towards a shared goal, the Cold War does not seem as bad as our own OTL. America successfully pulls of a conventional invasion of Cuba, sending Cuban-American Soldiers and other Spanish-speakers (Cuban Nationals and those who hate communism, along with Mexican-American soldiers, etc.) to invade. The Soviet Union objects a bit, but recognizes the spheres of influences.
The next rocket is the Japanese 'IJSV Samuri' which can carry 7 astronauts. It adds to the moon base and leaves 3 people to study the effects of staying on the moon. They add enough supplies for a small farm as well as increasing the size of the compound.
The situation in the middle east becomes volatile after Israel rattles the 'We'll drop things on space on you' saber. Many intelligence agencies know this is an empty threat, but it does not help anything at all.
The Soviet Union arrives, and leaves 5 people, and leaves the rocket orbiting and the lander on the moon, believing in being prepared for an emergency. The compound is quite large and spacious, the size of a medium university building.
The Americans shuttle up a further amount of supplies and leave a dude from DC, the first diplomat, who has with him a guy from California who knows Microbiology (to study the Hydroponics in the small farm), and also secretly knows Karate and Judo.
It is around 1979 when the big disaster strikes. An American prototype of a nuclear-reactor-onboard shuttle blows up after containment fails above the Pacific ocean. Hawaii is devasted for years to come and the American Public is outraged. They demand an end to the testing, and want a newer, safer type of space travel. America officially adopts the British system of manned spaceflight.
During the years, many diplomats come and go, none staying more than 5 months. During this time, a crises appears in the Japanese-USSR relations. Japan is blocking the communist party in it's satelitte nations, and USSR is getting really pissed about the execution of a spy. The treaty is signed on the moon, Japan agreeing not to block the communist party in it's territory so Japanese people are not persecuted within the USSR.
With this crisis showing how valuable the moon is as a negotiating place, many other countries sign up for a British Rocket of their own. Australia sends 4 men up in the latest model, a leased one like West Germanys. Spain uses the French old second hand one as they buy a newer one, and the Americans sell a few to Canada.
The Russians finally start with a grand space station, deviating from OTL with the 'Torvasich Cosmo' (Comdrade in Space [ooc: I don't knwo what the russian word for 'in' in]) project. Supposedly the begining of a spoked-wheel station, it circles the Earth, and is added onto by the member states of the USSR, who are following Russias examples.
The Commonwealth and the United States start a station of their own, named 'Atlantis' (after the fictional continent between the two). It is inhabbited, and is box, like OTLs ISS, but less sophisticated.
By 1988 , The Japanese are sending up their second Station Module to the station named 'Origami' (For theunfolding-like properties of the station: Movable solar cells, changeable layout). It is a large corridor. It will be used to integrate all three stations into the International Space Station.
I'd continue, but you see where I'm going with this...