Whether or not strategic bombing shut down German industry is controversial, but it was a disaster for the Luftwaffe.
It is uncontroversial at least with regard to the fuel production.
The VVS's job was to support Soviet forces on the ground, so they built low altitude aircraft. This allowed the Germans to fly in at higher altitudes and pounce on them using hit and run tactics.
The Germans on the Eastern Front flew at the same altitudes as the Soviets, which were determined by the flight altitude of German and Soviet bombers (4.5-5.5 km). Advantages due to altitude characteristics were not of great importance. Air battles were carried out at altitudes of up to 5 kilometers, with a proper formation of combat orders (echeloning of groups by altitude) the use of tactics "hit and run" was mutually difficult. The problem was not the altitude of the Soviet engines, but the poor training of the pilots, who had a miserable flight time after aviation schools (sometimes many times less than that of the Japanese kamikazes!).
This is one of the explanations for the Luftwaffe's spectacular kill claims.
The high scores of the German aces were primarily due to the problems of the Soviet pilot training system and the lack of flexibility in tactics and stupid planning (both at strategic and operational levels). The inadequate performance of Soviet aircraft only worsened the situation, but was not the main cause.
The Soviets will need to re-think some doctrine. The Germans were unable to do effective strategic bombing over Great Britain.
The Soviets were well aware of the need for high-altitude interceptors, but could not bring high-altitude engines up to the required performance parameters. There was a lack of qualified personnel and production capacity. The entire Soviet system was focused on the fulfillment of quantitative goals, which often led to a decrease in qualitative characteristics.
The USA and the Soviet Union were out of the question. Strategic bombing was not a problem for the Russians during WWII.
The Soviets were extremely lucky that the Germans had too few bombers and they were inadequate for strategic bombing. But even the available aircraft caused serious damage to the Soviets in 1943-1944, destroying facilities deep in the Soviet rear (the Volga region). Had the much better protected and higher altitude bombers of the Western Allies been used, the result for the Soviets would have been extremely sad.
Long range escort fighters are effective only when you have technological superiority over the enemy.
The Western Allies wouldn't need escort fighters. Soviet 85mm anti-aircraft artillery would not be effective enough against bombers, night interceptors would not be feared. I think even daytime bombing from altitudes of 7-8 km would not result in heavy losses of bombers.
My point above is that the Russians need two or three years to re-think doctrine and develop new aircraft.
The development of high-altitude interceptors continued in the USSR throughout the war and by 1945 at least one aircraft could be put into production (I-225). The limiting factor was the engines. My impression is that Mikulin rested on his laurels after the introduction of the AM-38/AM-42 into production and did not pay enough attention to the high-altitude engines, which had many troubles. As a result, the deadlines were pushed back by a year, and then came the era of jet engines - German and then British models were introduced in series.