NATO is distinct from the three island chains for the very simple reason that the US wants to futilely recreate the Sino-Soviet split (you know, the topic of this thread), so obviously they're not going to have the fuck Russia alliance (NATO) be operationally the same as the fuck China alliance (three island chains). Putting the two alliances under one operational structure would just bring Russia and China even closer together because they would now have an explicit common foe.
Like, there's also the fuck Iran alliance (the Zionist entity, comprador Arab regimes, Wahhabi terrorists, separatist movements within Iran), but you won't see NATO openly get involved in Palestine precisely because that would just bring Russia closer to Iran. Russia has been traditionally pretty pro-Zionist, but the Zionist entity's involvement in the Syrian civil war combined with that Ukrainian cokehead's dumbfuckery has pushed Russia away from the Zionist entity. So, you will have various NATO countries like Turkey and Spain pretend to be pro-Palestinian while other NATO countries like the UK ship weapons to the Zionist entity, but you won't see the entire alliance as a whole push to support the Zionist entity because if they do, Russia will counter this by deploying S-300s within the Axis of Resistance (Iran, Syria, Yemen). (Of course, the IOF foolishly poking the Russian bear by bombing a Russian base in Syria means that Russia is going to get involved anyways, which means NATO will also make moves within WANA as a counter to Russia).
We know they all have the same master in DC, but the agents within these formations themselves still get antsy when they are asked to step outside the scope of their organization. German troops aren't going to defend Taiwan in the same way Emirate troops aren't going to be shipped to Ukraine to retake Crimea. You might have Azov neonazis commit war crimes in Syria or show up in the Hong Kong protests, but actual state assets are reluctant to step outside.