What other American allies must we worry would depart for Russia or China? South Korea? Japan? Taiwan? Any country in Eastern Europe? I highly doubt that. The only reason the Philippines has shifted towards China is because their little demagogic dictator doesn't like being condemned for the Hitler fanboy that he is.
Although I'd really like us to enforce the upholding of democracy and human rights on all of our allies, the fact remains that Philippines did relatively acceptable in this area and is now speeding into dictatorship, so of course they'll be exceptionally criticized. If Duterte or any other tyrant doesn't like that, then let them go be with China and Russia. We'll always welcome them back if they're willing to change their ways.
You are right. No one else is in the region is going to change alignment. A Russian alliance with South Korea or Japan would be extraordinarily provocative to North Korea, and by proxy, the DRK's big brother, China. China has enough problems trying to keep North Korea from self-destructing without the specter of encirclement.
Taiwan is absolutely dependent on its security partnership with the USA. They gain nothing and lose everything by buddying up to Russia. And I doubt Russia wants to stick its nose in that mess.