The Empire of Japan says "Hi".
Seriously, Italy are a headache but not dangerous - they can be relied upon to be a pain in the backside, but they're massively outmatched in Europe and without Germany as a potential ally even they know it. The Japanese and Soviets are much more of a risk, and both have nuclear weapons programmes at the time. The Soviet one is proceeding more or less as OTL (start-up is driven by MAUD rather than the Manhattan project, and lower priorities are balanced with far better conditions), and the Japanese while a long way behind were much more competent than the Germans in OTL.
My prediction of the order in which nations will get nuclear weapons:
UK+ France/Entente, since they started first.
USSR since it started second and they do actually have a good science base.
US the fact is its program has been hampered by Briggs but I think its industrial capacity will enable them to beat Japanese.
Japan while it has started already it has a smaller base and I think will be hampered by its defeat in the upcoming Soviet-Japanese War.
Italy since it hasn't started yet but Mussolini would want it for prestige's sake.
China regardless of if it becomes Communist ITTL or not (though I think it won't) I would argue is likely to pursue a nuclear program since two of their neighbours have them and they really don't want Japan to be able to unilaterally launch a strike on them. Plus it may have help from foreign powers depending on the international situation.
India: While there since there's no Pakistan so they won't have the drive of OTL on the other hand I think they would have border disputes with China TTL and building nuclear weapons may been seen as cheaper than building up conventional forces.
Iran: The Pahlavi's have long wanted to project Iran as a 'strong' country and considering there was a program OTL I think there would be one TTL.
I couldn't really guess after this point on other nuclear powers.
I didn't know that. That explains a great deal about the place of the Burmese army in politics that I hadn't previously understood.
While at the end of the day the Tatmadaw are essentially bandits in their looting of Myanmar's wealth, organisation/doctrine wise a fair bit could be extrapolated about how a surviving Imperial Army would have evolved with new technology.