It's absolutely Capitalist and additonally Imperialist. Having a government doesn't mean it isn't Capitalist, especially if the bourgeoisie controls the state, rather than the proletariat.
You could argue that, but are these personal benefits not just checks from lobbyists? And does this power not come largely from the leverage they gain expanding their influence in order to justify bigger checks?
Yes the part about reducing government size. You have project 2025 that wants to get rid of the EPA and the Department of Education. Do the billionaires support this project because they have integrity or because it's good for their bottom line?
Billionaires support larger government, undoubtedly. The more government the more their business is protected from up and coming companies. Also they want more tax money to go into the government so they can get more contracts from the government. Take a peak at the national spending on military and realize that it goes directly to billionaire run companies.