I'm sure the author doesn't need to hear "leftist-counter-arguments 101", but the US has not dominated by peace and "through arguments rather than force".
The US has "pushed for liberalism", but only when it aligned with economic interests. There's a long list of brutal dictatorships and Islamic extremists propped-up by the US.
To give one data point (lesser known, I think), check out the book "The Jakarta Method" and learn about the ~1M Indonesians killed in this era of Pax Americana.
That being said, I agree with the author on the Enlightenment principles and can see the world getting worse in this regard.