A Japan that is
preparing to fight the Soviets instead of China will build more heavy equipment and focus their production accordingly. In OTL they focused on light infantry. I don't know how this can be any clearer.
The Soviets had parity with IJA soldiers in Manchuria with the exception of late 1941/early 1942. They would not have parity with the entire IJA. This is simple math, an IJA not engaged in China can focus its entire strength on the Soviets. The Soviets would have to either redirect troops and equipment from the critical Western front or accept the lost of everything east of Khabarovsk.
If you're counting Khalkin Gol that is barely relevant. It was an escalated border skirmish when the Soviets were at peace with every other nation (operations against the Polish commenced 2 days after Khalkhin Gol concluded).
Also, point to where I stated the Japanese would push to Irkutsk. They could try, but there would be no need.
There have been numerous threads on this topic so I won't go much further, but you're wrong by
1. Using purely quantitative analysis (war is a game of inches, not miles)
2. Ignoring the point about specialized machine tools
None of this contradicts my point and you would do well in the future to respond to the points actually being made. It was lend-lease that
allowed the Soviets to focus on frontline equipment. The fact that the Allies provided so many raw materials, industrial equipment, logistical and communications equipment, etc. allowed this to happen.
Again, missing the point. To cut the Trans-Siberian railroad the Japanese would have to move about 50km from the Manchurian border. That's it. That's how much longer their supply lines need to get. From that point the damage is done.
You should tell that to the Soviets, they certainly had a hard enough time repulsing them.
I've been over this before, the Soviets would either have to:
1. Capitulate
2. Ignore the Japanese and thus threaten their industrial base
3. Divide their forces between two fronts, which means the Germans have a much more time to work with. The Soviets would be drained much more quickly of men and equipment, plus the logistical issues of creating and supplying a large enough force to actually oust the Japanese (again, only 50km from Manchuria) would be crippling.
Either way, Soviets lose.
When the only reliable source of supply is by rail, yes. Do you have any idea how many barges would be needed to supply Yakutsk? How would those barges get there? How would they be safe from Japanese attack?
Yeah, who wouldn't be completely loyal to a boss who would just as soon kill you as anything else

. If there was an opportunity to topple Stalin, even his closest advisors would take it. The man was a danger to everyone around him. In fact, it is likely that poisoning was his actual cause of death.
In addition, the Allied call for unconditional surrender wasn't until 24th January 1943 in Casablanca. The Soviets would be in significant danger long before then.