Scare quotes are unnecessary; nobody would confuse you with a cultural imperialist.
The country is called "The United States of America," so its people are "Americans." Similarly, people from "The United States of Mexico" (yes, that's its real full name) are called "Mexicans."
Languages evolve as an emergent property of people who speak them. Language usage is not subject to revision or control by self-appointed intellectual fairness monitors who unilaterally arrogate to themselves such an authority. Linguists call this practice "prescriptivism," and it is widely denigrated as (ironically) an imperialist tactic used by the power class to enforce their social position.
However, the principle itself is not limited to any particular political orientation; leftist prescriptivism is just as unsupportable in a linguistic sense as imperialist prescriptivism is.