And the Soviets still ended up building big gaseous diffusion plants despite their scientists not likeing the route. They would not have spent the money if they had an equally efficient centrifuge route available, they would have cancelled it like they did electromagnetic separation, where they improved on the US process but still was not as efficient
Both of those programs were basically pure experimental, so they may have thought for the quantities they needed
That has more to do with following the American route than any great enthusiasm with the gaseous diffusion method, which did not work well enough for a bomb (hitting a ~50% enrichment wall) hence they approved Max Steenbeck's centrifuge pilot plant to be built, forgot if it ended up being built or not after they fixed the issue a few years later with the gaseous diffusion plant. Still, the reason of sticking with the gaseous diffusion method also has more to do with the fact that they already have it and it doesn't require to invest into a new big plant doing the same thing.
I've heard completely differently about both programs and that the Farm Hall transcripts pretty much indicate Germany had no functional bomb program and didn't even have a good critical mass calculation. They may have known "large amount of highly enriched Uranium/plutonium, compression, boom" but I haven't seen indications they knew enough to calculate a critical mass given all the interacting factors involved and that some of their fundamental calculations were pretty off(IE neutron absorption of Graphite)
The Farm Hall transcripts should be dealt with caution as they are extremely fragmented and the people being recorded were aware of that, Heisenberg even gets called for lying at some point in the transcripts regarding the mass required for a bomb, afterwards he refuses to comment on the fact.
There's a clear indication that Heisenberg knew the required amount in 1942 when he told either Speer or Milch (forgot who it was) that for a bomb the mass required would be "the size of a pineapple" (which is around 30-50 kg)
I don't know about any calculations but they probably are in one of the G papers in either the physical archive or on the online one of the Deutsche museum. (They are free to look through)
The Japanese were still purely in the experimental phase. The Germans were working on some of the issues but they didn't get particularly far, they could make cubes of Uranium Oxide but hadn't really worked on the pure metal itself and hadn't touched Plutonium, they didn't really work on the fusing issue, they hadn't solved one of the biggest issues with Centrifuges that the US did, how far they got in explosive lenses is a question
While the highest priority program for the Soviet Union, it is still a program from a war ravaged state that was substantially poorer than the US before losing 30 million people and having its industrial regions wrecked by the war, and in 1946 is in a borderline state of famine. Quite simply put it won't have the same resources as the top priority program from a richer state
The cubes were made out of pure metallic uranium, not oxide, they were pyrotechnic and would spark when hitting the ground, though most were coated to avoid that.
They got physical Plutonium in labs to experiment with though I forgot which team worked on thatz together with the idea of a breeder reactor. As for fusion, I believe it was Flugge who proposed it in 1940/1941 by utilizing tritium and a later G paper in 1945 talking about lithium deuterite.
Regarding the US budget and Soviet one, I wasn't referring to the Soviet Union having as much money or resources as the US, but that the Manhattan Program itself wasn't the most expensive, the B-29 costed something like 3 billion and they spend by the end of the war since the start something like 30 trillion. It is likely that the Soviet Union could spend 2 billion on a similar program without issue (with a slight detriment in spending on other projects)