I think Churchill’s general view was we basically should have fought hard to avoid most of Eastern Europe falling under Soviet control; not just Thuringia and western Czechoslovakia but Poland, Hungary etc. The thing to keep in mind about Churchill, is with WWII he was somewhat of the ultimate “right man, right place.” In many respects Churchill had been wrong and deficient for much of his political career prior to WWII, WWII made him right once, but it made him right at probably the most important time in British history.
I think while I sympathize with the thinking behind Churchill’s belief we should’ve challenged the Soviets, the practicalities of it suggest that this was probably not a wise gamble. Given the state of the Soviet economy, the fact the United States had more people and an untouched industrial sector and more natural resources, I do think if we wanted to go to war with the Soviets over control of Eastern Europe (note this would not assume any kind of invasion of Russia proper), we’d ultimately win it. However in the immediate aftermath of V-E day the Soviets outnumbered us on the continent significantly in men and tanks. With us at war with them it’s likely they have trouble keeping parts and oil necessary to maintain all those tanks, but they’d likely push us into Western France or even further before we could stop them by shifting lots of men and material to Europe for what would basically be WWIII.
The initial losses from that would likely be catastrophic. So it’s not the most realistic scenario. Maybe a more realistic scenario is we fought them politically and refused to accept their continued occupation in Eastern Europe diplomatically, but didn’t start a shooting war. We then start a massive military build up in Western Europe and start a shooting war 3-4 years later. Okay, if we do that we’re in better position in Europe to not get rolled due to sheer numbers, but we’ve also now looking at being years past when most Americans expected their boys home, and at great expense. Then we start a shooting war with the Russians, during which time in the interim they’ve repaired a lot of their industrial capacity and have more easy access to oil etc than during the height of WWII, so even though we’re in a much better tactical position so are they. Most likely again, we’re the larger company in manpower, economic resources, we have the atom bomb then and they don’t, we have a far bigger Navy (albeit that won’t be decisive in such a war) and we likely will attain air superiority–so I think we’d win. But I think the losses in our own dead would be much higher than in WWII itself.
The TLDR I’m pointing out is at very best Churchill was casually advocating for a position that would see many hundreds of thousands of dead American soldiers, maybe over a million, in exchange for a liberated Eastern Europe. I won’t say it isn’t a noble goal, but it isn’t all that realistic. It also would have been devilishly difficult to swing politically. As mentioned, we’d been telling the public for years the Soviets were our dear allies. Further, the Soviets weren’t completely stupid. They didn’t just impose “evil Soviet governments” on Eastern Europe day one. They instead quietly sponsored communist parties in the post-war occupied governments, that would develop some veneer of “popular legitimacy” with the people of those countries. Also in some cases, it frankly wasn’t just a veneer, there were actually a lot of actual communist sympathizing types in Eastern Europe in these countries in question.
Now giving Churchill a little more credit, maybe he just assumed we needed to be tougher with Stalin at the negotiating table, maybe he thinks we could have bullied Stalin into backing down, because Stalin might fear war with a combined United States / United Kingdom. Not that we’d be likely to conquer the USSR proper, but the fact we’d be winning the war and draining Soviet resources could threaten Stalin’s power base in the country and put him in an untenable position. Maybe Churchill thinks Stalin could be bluffed and bullied. The reality is, I’m just not sure that’s true. Stalin had a lot of faults but being weak of will certainly wasn’t one of them. I’m not really convinced he was giving up his “treasure” paid for with so many millions of dead soldiers, without a serious fight.