Essentially, it's a case of 'heck, if we die then at least we went out in style, and if it works then we're heroes'. The strategic warfare equivalent of charging the machine gun that's pinning your squad down.
My best guess for a US first strike is 75% of strategic forces in the USSR are destroyed on the ground, and all of those in Cuba. Guantanamo and maybe Key West will get it from tactical forces, but that's life.
That gives 26 bombers, 14 Tu-95K missile carriers, and 9 or 10 ICBMs successfully launched. Of those, 20% of the aircraft are intercepted (matching the best ever performance of an air defence system) and one-third of missiles don't work properly. That gives you 21 bombers carrying 42 gravity bombs, 7 Kh-20 missiles and 6 ICBMs reaching their targets. Some of those will be double-targeted, but the losses are bad enough that most will be one device per target, and a lot of targets not getting serviced.
For a Soviet first strike, the figures look worse - the 75% attrition doesn't take place, but we can probably assume something like 15% unserviceable. The end result is 140 gravity bombs, 26 Kh-20 missiles, 22 ICBMs and 23 IRBMs delivering nuclear weapons against the United States. Based on British estimates of what it would take to bring down the USSR, that's probably enough to cause a breakdown of the United States.
Americans will have the solace, though, of knowing that their alert force is capable of bouncing the rubble of the Soviet Union. Some Brazilian or Australian historian - the Soviets don't have the capability to nuke everyone who looks at them funny yet - will probably declare that, theoretically, the United States won the war.