Errrrmmmm...the Cuban missile crisis actually started in October of 62, and the issue was sites being constructed in Cuba but there weren't any missiles actually there. For this move on Berlin to be post crisis and still in 1962 it is a 'winter surprise' and there are no missiles in Cuba. Even if the Soviets hadn't backed down they wouldn't be ready to go until sometime deep into 63.
The fact those missiles would have changed everything is why there was a Cuban missile crisis in the first place. With missiles in Cuba the US threat to respond with nuclear to a conventional attack on Europe would have been immediately hollowed out, because the nuclear retaliation wouldn't have been confined to Europe. In the most dangerous piece of brinksmanship ever performed on this planet Kennedy said that if the USSR attempted to remove that deterrent the US would respond as if the invasion of Europe had begun. Jump to my first post, starting at 'So it would have gone nuclear...'
It's funny how in the US there is a general sense of the nuclear standoff as if the big concern was Soviet first strike capability. In reality the only 'first strike' that anyone ever thought likely was a US nuclear strike in response to a conventional invasion of Europe...and the reason that was thought about was because the US frankly said they could and they would.
We'll never know, but I believe that if the Soviets had not backed down at Cuba 1963 would have arrived on time...but Europe wouldn't have been there to see it.