Without Nukes right?
The Red Army, although depleted, would take Europe entire within 7 days. Geographically, the "West" would have far too much scope of battle, you'd be asking a LOT to bomb the entire Asiatic.
The Russians have shown how they can fight from within and without, suffer huge losses and still remain a potent force. Anyone see what happened when New York lost a few buildings? Stock market crash, National Mourning and confusion. Pearl Harbour?
What about if the US was to lose NYC, Washington DC and LA? The US has never been tested in modern warfare fighting a defencive battle on their home soil. Defencive fighting has always proven to be the Achilles Heel of the US military take a look at recent history for proof of that.
That said, offensively they have to be the best at the moment, although facing a war of attrition and being a Democratic Free Republic will cost them dearly if they hope to fight and win against other more nationalistic nations.
If it was a bizarre fight to the death, then sheer numbers would count China and Russia winning hands down. In reality, it would all be over after a week with Europe being annexed as part of Russia and the US losing the will to fight a war at home.