President Donald Trump responded to the large-scale "No Kings" protests across the US by rejecting the characterization that he is acting like a monarch. In a Fox News interview, he said, "They're referring to me as a king. I'm not a king". Alongside this verbal response, Trump posted AI-generated videos on his Truth Social platform depicting himself adorned with a crown and piloting a fighter jet labeled "King Trump" while dropping what appeared to be brown liquid or sludge on the protesters below. One video showed him wearing a crown and flying the jet to the soundtrack of "Danger Zone," and another showed him putting on a crown and cape while Democratic leaders bowed before him.

The protests themselves were massive, with about 2,600 to over 2,700 demonstrations nationwide involving millions of participants protesting Trump’s policies and what they see as authoritarianism. Republican leaders, including Trump’s allies, dismissed the protests as "hate America rallies" and blamed them for prolonging a government shutdown.

The White House, through a spokesperson, dismissed the protests succinctly with "Who cares?" Trump’s overall response mixed direct verbal denial that he is a king with mocking and provocative AI-generated videos that portray him as a king but in a sarcastic, defiant manner.

In summary, Trump denied being a king verbally but embraced and mocked the "No Kings" protesters by sharing AI videos that ironically depict him as a king dropping sludge on demonstrators, staying defiant against the widespread demonstrations.

This approach reflects Trump's combative style toward political opponents and protesters, using social media to counter and ridicule opposition narratives. This is the comprehensive summary of what Trump said and did regarding the "No Kings" Day protests.