Many uniforms, shoes and boots for Soviet Army soldiers were manufactured in the US under Lend-Lease. Most were made in the USSR however, as they had many millions of men (and women) under arms during the war.
This is an American collector/re-enactor modeling the uniforms and equipment in the video. I'm jealous of this guy for having all this stuff, I wish I did.
A lot of this type of gear was used into the 1980s into the Afghan war period. The ushanka is still in use, of course. Alex Him served in the Russian army, so he could probably answer all that for certain better than me.
I admit it, I also like the
Hunt For Red October soundtrack.