No. If the first Russian strike is successful, they destroyed all Minutemen, B-2A, B-52, both naval bases with SSBNs, and, may be, few SSBNs in sea...
All you have their attack is few SSBNs in at least two different Oceans. For example, survived one SSBN in Atlantic on a hard duty - twenty missiles, two of them with 8 kt W72-2 warheads, and, say, 12 with four 90 kt W-76-1 each, and 6 with four 455 kt W88 each.
It means, that you have only 72 effective warheads. And the Russians in the Moscow region have more than a hundred of counter-missiles. So, you can't burn down Moscow.
Yes, you still can destroy say, Saint-Petersburg. But then, Russians will destroy all American cities by their third strike.
So, if you have only one SSBN in Atlantic (after the first Russian strike) , your bargaining position is pretty poor. So, there is a good chance, that you'll agree with quite generous Russian peace proposals. That's exactly what the Russians call post-attack coercion into peace.