You're describing Corporatist Libertarians.

Traditional Libertarians: No organization (government or otherwise) should be large enough or powerful enough to infringe on anyone's liberties.

Corporatist Libertarians: No government should be powerful enough to infringe on the liberties of corporations.

Corporatism has taken over about 50% of the Democrat, Republican and Libertarian parties. They're what people usually mean when they say "moderate" in the US, and why no branches of the federal government have an approval rating above 33%. It's also why things are going downhill so fast: It doesn't matter which party is in power, even if they've got a filibuster proof majority and all three branches in their pocket. Their corporate faction will still be powerful enough to block progressive and populist legislation.