You need way less divisions and advanced equipment to pull Hungary 1956 than fulda gap 1983
And this is the key point! The few intervention forces would need top-of-the line equipment, but as for the rest... you can crush demonstrators as well with BTR-152's as with BMP-2's. And, in fact, keeping the WP military forces at lesser technological and manpower level reduces need to have sizable Red Army formations.
As for PVO and Dead Hand, the RN operates with letters of last resort and listening to BBC, so I don't see anything fundamentally different. Hoffman's "The Dead Hand" seems to be a good description.
Okay looking at what the Soviets are going to want to keep here
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Son on average you are talking a ~30% or less reduction in military budget for the Army and Air Force, maybe 10% with the Navy, none for PVO and Strategic Rocket Forces
In addition to personnel costs you would have quite large reductions in arms procurement. Soviet MIC was, and in fact still is, very good in promoting one generation of weapons after another in a very quick succession. What kind of forces would be good enough for Cold War situation?
What could be (somewhat) realistic level of complacency for Soviet forces?
For Strategic Rocket Forces, I think one could basically stop developing new missiles after R-36 (or even UR-100). Should be good enough, with large enough capability. Maybe a modified version for mobile launch.
For the Army, once you reach BMP-1 and T-62 level they could be well used for an eternity if upgraded. No need to go through multiple generations of weapons with fairly limited improvement. I would focus on developing best diesel engines in the world which would have positive repercussions in civilian sector as well.
For Air Forces, focus on weapon, sensor and engine development which can be used incrementally instead of developing larger and newer airframes. MiG-21 with better missiles, radar and IRST could serve well even today. Kinetic performance is irrelevant if the other guy has helmet sights and off-boresight launch capability. As for PVO, SU-15 with improvements could go on forever. For ADD and Naval Aviation Tu-95 is good enough with cruise missiles, as it is today. Better engines might enable Soviet commercial aircraft to be competitive with Western ones.
As for VDV, the Airborne Forces, these would be expanded and kept with top-of-the line equipment. Their transports could be used to earn hard currency all around the world during peace time, after all Il-76's are in high demand even today.
For Navy, instead of "good enough" route I would focus on quality rather than quantity with decommissioning of obsolete submarines and surface craft to reduce maintenance costs. Or just donate them to clients.
What happens/happened is the military get/got pissed off with Khrushchev cutting their manpower and throw their support behind his ouster. Replacing expensive conventional forces with cheaper nuclear rockets was in fact Khrushchev's policy.
Increase the perks for officers. Better pay, better apartments, cars... With cutting down the manpower and procurement there's more wiggle room for that.
Use universal conscription as a public works program.