Soviet ICBM program accelerated in 1950s/60s

Hi all,

What would be some necessary PODs for a more capable Strategic Rocket Forces ICBM arsenal during the Cuban Missile Crisis? The Nedelin catastrophe could be averted, but are there any other significant divergences?
 
An early POD would be for von Braun and his team to somehow wind up in Soviet hands instead of escaping west and surrendering to the US as IOTL. As talented as Korolev was, adding several top German rocket engineers to his team would have been a big boost to the Soviet rocketry program. If nothing else, it would have let the Soviets catch up to the German V-2 program and start building past it quite a bit faster: OTL the Americans started test-firing V-2s about a year and a half before the Soviets (April 1946 vs October 1947).
 
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