Why did the USA not try to get closer to Russia, to counter China?

Let's ignore what is happening right now in Ukraine. Why American politicians continued to treat Russia as if it was still the USSR, when the USSR hasn't existed since 1991.

I think it would have been smarter to try to draw Russia into the American camp to draw them away from China and thus isolate it even more.

The United States had once moved closer to China against the USSR.
Why did the USA not try to get closer to Russia, to counter China?
Why did the USA not try to get closer to Russia, to counter China?
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