There is no doubt a lot of US influence in these allied countries. But that is true about US as well, where there is a lot of influence via lobbyists, businesses and think tankers getting funds and influence from places like Japan, Taiwan or Europe. And every time US wants to make a policy that goes against the current Western empire paradigm, such as going soft on Taiwan for example or Ukraine, these influences start steer US policy back to what it was before.
But in both US and in allied countries if there is a fundamental shift in public thinking due to national interest, then these soft influences are not going to be able to stop change. They can push and pull in certain directions, but national political will can trump these influence ops.
Japan has more anti-China national thinking than US does and no amount of CIA op will be able to change that. If US becomes a Chinese friend for example, then Japan will likely take out US forces right away and become a north korea like pariah country rather bow to China. This is the fundamental national will of Japan.
Same thing about the baltics, they would rather become America's enemy than bow to Russia.
Taiwan and DPP has been hugely influential in fomenting anti-China hawkishness and funding hawkish lawmakers and think tankers in US. Without DPP and Taiwan US would be far less hostile to China.
So, again, its not true that US is the master of these countries. In many cases, they are even hawkish than US and influences US to be more hawkish than it wants to be. In a way, they are bigger worshipper of Western empire than US itself.