The US doesn't have military superiority over Russia in a war between the two. There is an absolute military equivalency between the US, and any nuclear state that has a stockpile large enough to obliterate its opponent. Yes, the US certainly has a superior conventional military, but that doesn't really matter when it comes to the USA and Russia. Any war between then, any hot shooting war, can go nuclear. Russia knows it cannot win a prolonged conventional war, and at best it can just make winning bloody enough for the US to not want to consider it. Russia has to show that it is willing, and capable of going the nuclear option if Russia is threatened directly, at which point, all the conventional supremacy of the US matters for jack and shit. Just like in the 50's when the Soviets had a vast conventional supremacy, and Eisenhower just said "let's build more nukes".
Unfortunately, it would seem, that in fact you misunderstand the actual military balance of power on this planet. The US has the most powerful conventional forces. Conventional forces don't matter when the two state actors involved have nuclear arsenals capable of killing each other several times over. Russia can't win a conventional confrontation, so they won't take one unless they have no other choice, and the US can't take a conventional action against Russia either, because it knows Russia can't win, and pressing that hard means Russia might start lobbing nukes at which point, how many F-22's the US has doesn't matter.
I think you completely misunderstand the nature of warfare today, between first rate military powers. The first thing that is going to happen if Russia and the US go to war? All our smart phones are going to stop working. Why? The first targets by both sides, are going to be to wipe out all communication and military satellites. That is the actual conventional military advantage the US has over Russia and the rest of the world. Iraq and the Taliban did not have the ability to target satellites. The Russians do, and if suddenly things went hot, that's the first casualty. No more eye in the sky. No more drones. No more up to the minute accurate data feeds allowing the US to drop GPS guided bombs on targets. We will be back to needing laser guided bombs. We won't know infallibly where everything is. We will be on equal footing. Oh, not that that matters, because nukes. The idea that Russia would engage in a war against the US where nukes were off the table, is a fairy tale.