The far-right activist had been scheduled to meet Republican lawmakers in Washington, D.C.
The Fox News host said that his daughter was confronted by the man while on an evening out at a country club.
The FAA is investigating the Wednesday night incident.
Huge wildfires have devastated communities in northern and southern California, causing thousands to flee.
Experts have long expressed worry about the reliability of voting machines.
The president of George Soros's Open Society Foundation said the Fox News network had allowed guests to make false conspiracy claims about Soros.
The pair explained they wanted to protest against the president's visit in a novel way.