Most politicians don't adhere to a coherent school of thought. I don't even think we have a definitive list of schools of economic thought. There is overlap everywhere. At best you could say that politicians believe in certain macroeconomic concepts or ideas (when it fits them). Macroeconomics is a lot more abstract than some people think. In advanced macroeconomics you basically learn to solve DSGE models or RCK models
. Now obviously these models can have policy implications, but it's way more abstract than what most policymakers face.
Nationalist economics, it's the economic thought of right-wing nationalist parties throughout Europe (Le Pen, Wilders, Danish People's Party, The Finns, SD and elements of the AfD
I am specifying nationalist and not populist as the progress party in Norway and UKIP have more traditional economic views.
But all of this is irrelevant because Trump's economic thought is not being put into action (apart from protectionism) due to people in his cabinet.
In what way is Trump's economic thought not being put into action? He quite literally campaigned on large tax cuts and deregulation. He vowed to defend medicare and social security, but I don't think he ever said something on other welfare programs. And his tax plan was even more insane that the tax cut he got through.
While Carlson is critical of swift technological change I also doubt whether he's as ''statist'' as some of these parties can be.