The price of association with the US is, as you say, US influence; however, US influence is much less restrictive and oppressive than many other major players today and historically. Our EU allies regularly criticize us in public forums; North Korea does not have the political freedom to criticize China and Belarus does not have the political freedom to criticize Russia to the same extent that United States' allies do today.
It's high time for global players to wake up from the ideal world where everyone can get along with zero tariffs or restrictions. The United States must do what is in her best interests and other states should follow her lead. I believe it is the US best interest that the world is more free, and should that eventual goal require some restriction of hostile foreign entities' freedom to operate on US soil, so be it.