Going with the OP, we're just questioning the "general mismanagement" part. I guess the hypothesis that they are doomed from the beginning would also work. Of course, then you can debate the decision to start the war, and then make it a two front war, is mismanagement as well. The loss of opportunities to use anti-communist and nationalists as allies can also be placed under general mismanagement.
Anyway.
I am not making an argument that Moscow WOULD have been easily captured. Whether or not we do not know, although we can conjecture with the Nazi successes earlier in capturing cities, compared to their failures later when resistance stiffened. IF the Germans moved just slightly faster, then it is clear they would have A) Penetrated at least somewhat deeper into the city or B) was able to enforce a flanking movement around the city. More force means more results, although the end of said results must be seen as well.
Finally, what I said earlier was conjecture of what their goals would have been had they been successful and if they followed their earlier strategies and goals. They would have wanted to decapitate the Soviets. They hope that anti-soviet forces can cripple their foe. They know that at the time they started, most of the soviet industry were within range of a year's hard fighting.
Also, those said russian defenders and large soviet forces in the Ukraine area were trapped, enveloped, encircled and mauled. They had no chance of breaking out whatsoever, having already lost most of their armor when the Germans outflanked them, but with harvest coming and holding a decent area, they can survive the winter and serve to menace the German supply line, that is true. But in the end, their strategetic value is moot. Hitler's decision to destroy them might have been A sensisible decision, but is it the best? Again, I don't know all the details, but I do know that this eradication was touted as a major victory as soviet resistance stiffened and that there ARE german units freed from the elimination of these soviet holdouts in the Ukraine.
Finally, if the Germans did everything "Right" with "No Mismanagement" what would it look like? The Germans push along 3 fronts: Leningrad, Moscow, Ukraine. They did not divert attention to the Jewish problem yet. They have winter gear and anti-freeze ready when winter came. They recognize that the encircled russian troops are strategetically impotent and push closer to Moscow. The winter russian counter attack is blunted by the Nazis, having brought in more and proper supplies instead of more reinforcements to freeze without winter gear. Moscow becomes a new Stalingrad. Even if Moscow is not captured, the rails distributing troops and supplies to Leningrad and Stalingrad are disrupted more severely, and so must be diverted to less effective rails, which lengthens time until Germany's defeat. In addition, if Germany didn't mismanage they could have rolled the Soviet's counter offensives easily at this stage, instead of relying on allies for their flank-guards. Say Moscow is captured and the leadership escapes. Leningrad's siege is more complete and little of the Ural's restarting factories and tanks reach the Ukraine front. The desperate counter attacks outside of Stalingrad were less effective as a result, therefore they reach Stalingrad earlier and attack sooner, leaving Stalingrad with fewer stockpiled weapons for door-to-door defense. Now, if neither Stalingrad nor Leningrad falls, it doesn't matter if Moscow fell or not, but the "Fail via Mismanagement" argument has no given.
If we return to reality, this is what we find- at the center, a mismanaged campaign, a misunderstanding of the Soviet's resolve and power, and many other issues as well. However, it is clear that a mismanaged campaign is NOT the heart of Germany's defeat. Even if they do everything right and Stalingrad/Leningrad/Moscow falls, they get lucky and caught Stalin by surprise, they raise legions of anti-Soviet natives. They will still lose.
tl;dr. Looking at Alt-His, Germany still doesn't have a chance with perfect management. Doomed from the start via reality-perception disparity.