I don't think you're using the right terms for what you're describing. You actually seem to be against capitalism and an unregulated free market society. That is, you are against a world without regulation where the free market is allowed to run freely unchecked by government. However, this is not corporatism as it has nothing to do with corporations. In fact, corporations could be made illegal in capitalistic society by stating that business can only be conducted between individuals. One(capitalism and the free market) does not imply the other(corporations). I'm not sure if you'd still be against this(free market capitalism without corporations), but I imagine you would.
I think you might need to read up a bit more on capitalism, classical liberalism, libertarianism, crony capitalism, and perhaps marxism or communism. It might help you make your points better. There's a bit of each(and possibly others) mixed in your views.
Ron and Rand are libertarians. Also, Rand is more moderate and conservative(AKA republican in this case) than Ron. They don't always share the same views. For example, I doubt Rand would push the gold standard like Ron has in the past. This is one of the reasons I'd support Rand, but had my concerns about Ron. To be clear though, they are not corporatists. In fact, they(like most libertarians) very much believe that crony capitalism through extensive lobbying and regulation that prevents new markets from being created is precisely what's caused the somewhat recent rise of corporatism in the US.
As I'm merely trying to educate and not criticize you, so I won't go into why I disagree with your viewpoints. Though I'd like to point you to the telecom, banking, and broadcast industries to see what happens when government applies strong regulations on "corporations."