One of the most interesting leader in alternative USSR - Lavrentiy Beria. Beria's 1953 program is:
1) private entrepreneurship
2) a disarmament treaty with NATO
3) reduction in the size of the Soviet army
4) reduction in the production of weapons
Beria planned to send money to the development of science, including military science. I have no information about Beria's plans for tanks and aircraft, but at least he was not going to build and maintain a huge ocean fleet. Given that Beria was more prudent and firm than Gorbachev, it is unlikely that he would have allowed NATO to survive by dissolving the Warsaw Pact. If we consider an alternative history, where Beria ruled since 1953 (or 1945), and where all his plans succeeded, most likely the Soviet army would have changed a lot.
Because of Khrushchev, the USSR lost its heavy tanks. In conditions where the Soviets do not need to storm Europe in tens of thousands of tanks, I think the development of the Object 770 would be interesting. The plans of the Soviet engineers were to use a new 140 mm M-65GL gun, that could penetrate the Chieftain from 3.5 kilometers. Also, do not forget that the USSR already had reactive armour at that time. The main argument of the Soviet military against reactive armour was that the tanks continued to carry soldiers, and the explosion of reactive armour was considered dangerous for the soldiers (by the way, because of this, the councils abandoned Paliychuk's reactive armour in the early 1930s). Here, the Soviets have enough money to produce a lot of armored personnel carriers, so the reactive armor in the 50s or 60s will already be on Soviet tanks. In addition, the Soviets can use the Object 770 chassis to build AA vehicles. Intetrsting variants - Gryazev and Shipunov double-barrel 57 mm gun with 1000 rpm, or, automatic guns - 85 mm and 100 mm smooth-bore KS-6B and KS-36, with 80 rpm. The maximum unification of weapons was no longer required, and, I think, in the 50s or 60s, the Soviet army could get something better than the AK. Some samples were disapproved due to too little unification with the AK. Simonov, Dragunov, Gryazev, Konstantinov, Baryshev, Afanasyev, Korobov and other engineers have developed a lot of different weapons. It is possible to create pistols (on basis of TKB-023 - PM with polymer frame, early 1960s) and submachine guns for non-standard cartridges (9x21 and 9x33, based on 9x18 cartridge). Maybe rifles and machine guns for new cartridges will be created for the army (in 7.62x41, or other perspective cartridges, 4.5 and 6.5 mm). The militsiya (Soviet police) will get more money and can use non-army weapons (TKB-486 or other compact submachine guns).
The idea of a semi-capitalist USSR is actually quite interesting. For example, Soviet car factories could produce really many cars, from the cheapest to the most luxurious. For peasants, for example, the GAZ M-73 is a miniature pickup truck, extremely simple and reliable, 35 hp, 4x4. For the rich - "land yachts" - for example, ZIL-114 (7 L, 300 hp). Later, there will be a demand for computers and mobile phones. Engineers will no longer be constrained by rigid frames in the form of "to make as cheaply and simply as possible" or "to do exactly the same as in the Americans" (a lot of Soviet electronics like tape recorders in the 70s and 80s were copies of foreign ones, despite the presence of their own elemental base). The Stalinist USSR fared better than Maoist China and had a more powerful economy. If reforms were carried out in the USSR, similar to those carried out in China by Deng Xiao Ping, then the USSR should have shown better results than China. The Russians had almost everything to successfully compete with the West. There was even its own soda ("Duchesse", "Baikal", "Tarhun", etc.), which could compete with "Coca Cola" and "Pepsi Cola" in the world. As a result, the USSR had to earn a lot of money, which could not but affect Soviet weapons. Even simple cartridges could be of much better quality - the standard 5.45x39 has a fairly large spread in bullet quality and in ballistics. If the USSR had money for good machine tools, then these problems could have been avoided. Now Russia produces including improved 5.45x39, with an increased accuracy of 1.5 times. In the USSR, there were projects of exoskeletons for soldiers, if the Soviet army were smaller and had a lot of money, then in the 60s and later one could expect the appearance of passive exoskeletons. During the war in Afghanistan, the Soviets had heavy assault armor "Voin-1" ("Warrior 1"), which protected from rifles, and weighed about 60 kilograms - too much for a soldier without an exoskeleton. Now Russia has the "Voin-KM" armor, with the same protection, which weighs 30 kg, due to the use of more advanced materials. The Soviets could receive such armor in large quantities already in the 80s, without burdening the soldiers. About 1980s tanks - if they could turn a 45-48-ton T-80 with a 125-mm cannon into an Object 292, then they would turn a 55-60-ton Object 770 with a 140-mm cannon into a monster with a 160-170 mm cannon, or, fast-reloading 152 mm gun.