Possibly but I don't think so, Russian Hatred for Germans was very strong and a major rally point. I don't think capturing Moscow would have been a devastating political blow to Stalin. It would have been a major blow but I don't think enough to topple him. Still this is what if so any answer is possible (well almost any some are to silly to imagine)
In his memoirs, Otto Skorzeny (they were published in abridged form. Often without the first 150 pages. But you can find the complete edition) wrote about the reasons defeat near Moscow (where he was a member of the SS Division "Reich", which was part tank Group of Guderian.): "Giant purge of the military carried out after such a mass executions of politicians misled not only Heydrich and Schellenberg. Our political intelligence was convinced that we have achieved a decisive victory, the same view was taken by Hitler. However, the Red Army, contrary to popular belief, was not weakened, but strengthened ... Posts repressed commanders of armies, corps, divisions, brigades, regiments and battalions took the young officers - ideological communists. After an all-out cleaning in 1937, a new, political Russian army that can move the most brutal battles. Russian generals obeyed the orders and do not engage in conspiracies and betrayal, as is often the case with us in the highest positions". So the fall of 1941, when the Germans were near Moscow, the Red Army no was a conspiracy of generals. And in the Wehrmacht in three years was. Although to Berlin at the time was much more. It is impossible to imagine that Stalin blew up one of their "own" in the Kremlin as it tried to do with the beloved Fuhrer in Wolfsan Colonel Stauffenberg.
Skorzeny directly suspects head of German military intelligence, Admiral Canaris in secret work for the British. It Kanaris convinced Hitler in the summer of 1940 that the landing in Britain is impossible: "July 7, he sent a secret report to Keitel, in which he stated that the Germans are set down in England, await 2 divisions of the first line of defense, and 19 reserve divisions. The British at that time had only one ready for combat unit - the 3rd Division of General Montgomery. General recalls in his memoirs ... From the very beginning of the war and in the decisive moments of Canaris acted as a most formidable opponent in Germany". "I talked to Canaris three or four times - says Skorzeny - and he no gave me the impression of being extremely tactful or clever as some write about it. He never said directly, was tricky and confusing, but it's not the same thing. Abwehr never informed nothing really important and significant". This is one of the most common complaints of the great saboteur, "We did not know that in the Russian war with Finland did not use the best soldiers and outdated equipment. We did not realize that their hard-won victory over the brave Finnish army was just a bluff. We are talking about hiding a huge force that can attack and defend, which Canaris, the head of intelligence, the Wehrmacht, had something to know. " Skorzeny hit "gorgeous T-34." "The German anti-tank guns, it is easy to destroy tanks of the T-26 and BT, were powerless against the new T-34, which suddenly appeared from wheat and rye. "Faust bullets" came much later, so the first campaign of some Russian tanks restrained by direct fire only our heavy artillery. " Skorzeny about German engineering; "In 1941 every German car company continued to produce various models of the mark in the same way as before the war. A large number of models are not allowed to create an appropriate stock of spare parts. In the motorized divisions was approximately 2,000 vehicles sometimes 50 different makes and models, even though it would be enough 10-18. In addition, our artillery regiment possessed more than 200 trucks, presented 15 models. In the rain, in the mud or in the cold, even the best expert could not provide quality repairs". To the German army approached Moscow is exhausted:"19 October torrential rains began, and Army Group "Center" for three days stuck in the mud ... The picture was terrible: stretched for hundreds of kilometers column technique where three rows of thousands of cars were bogged down in the mud sometimes hood. There was a shortage of gasoline and ammunition. Providing an average of 200 tons per division, delivered by air. Were lost three precious weeks and a huge amount of material means ... The price of hard toil and effort, we have managed to build 15 kilometers of road from logs ... We dreamed to quickly become cold". "Unpleasant surprise - at Borodino the first time we had to fight with Siberians. This tall, excellent soldiers, well armed, and they are dressed in fur coats and wide caps on the legs - fur boots. " Otto Skorzeny: "The strategy of the war, Reich was better, our generals had a strong imagination. However, since the ordinary soldier and up to the company commander, Russian were equal to us - brave, resourceful, talented camoufleur. They fiercely resisted and were always ready to sacrifice his life ... Russian officers from the division commander and below were younger and resolute. From October 9 to December 5 Division "Reich", the 10th Armored Division and other parts of the 16th Panzer Corps lost 40 percent of full-time staff. Six days later, when our positions were attacked by newcomers Siberian divisions, our losses exceeded 75 percent. " Almost the main reason for the defeat of the German army said Skorzeny gorgeous Russian intelligence. "The Red Chapel" - spy network in Europe, most of the diehard anti-Nazis - let the Soviet General Staff to have information about the strategic intentions of the Germans. He remembers about the superspy Richard Sorge, thanks to the information on which that Japan did not enter the war appeared near Moscow 40 divisions transferred from the Far East. This is the answer to the question why they did not take Moscow. Germans just crushed. Skorzeny himself no longer fought on the front. How no stupid man, he realized that the chances of survival in this meat grinder is minimal, and took the opportunity to join the service in the SS commando unit. But at best it is no longer drawn - Dictators steal much nicer and safer than face to face with Siberians in boots, warring with the support of the T-34 and the world's best intelligence.