Oh man, things aren't looking good for any of us on either side.
Let's check back in 10 years.
While libertarians lack official power, the market is so powerful that it drives tons of human activity without people even being aware. Also, the belief that the government is all-powerful and can actually solve problems is 99% fiction. So while people look to the president as someone to blame for problems or praise for solutions, the truth is that very little of consequence is in the president’s (or government’s) control. So being a libertarian is a state of mind - the acknowledgment that the source of happiness and purpose is ultimately your own concern and no one else can do this for you. Not having a seat in government means nothing because libertarians generally don’t want government and it’s usually fairly easy to ignore, legally avoid paying taxes to through a variety of loopholes and structures in our Byzantine tax code, and is so ineffective it’s mind boggling that it ever gets anything done beyond corruption and graft.
So to come full circle, I believe governments are far weaker than most admit or recognize, and power is increasingly in the hands of private people and organizations. And I welcome this shift in power.
So you are asking me the wrong premise - if the state has no power, what regulation can a corporation capture?
I like corporations because businesses provide value. They can fail. The organizing principle has a straight-forwards goal of earning money. I don’t see any states failing (except for socialist ones like Venezuela) in a way that can put them out of business - they tend to grow forever in all directions, capturing more wealth and diminishing freedom.
The next question - do I care about inequality as a given? If everyone on earth had a healthy, purpose driven life but one family had 99.99% of all the wealth, would this be a problem? Basically do we dislike inequality because of envy or because most people genuinely have nothing?
You are correct that corporations are already running the show. Our biggest corporations are more powerful than most countries on earth. Because innovation in free societies is emergent and decentralized, the best the government can do is play whack-a-mole every few years as the free market laps them over and over.
I like the chaos, I like the unpredictability, I like weird people, I like having the freedom to do whatever I want. I want maximum freedom in all things and the least amount of coercion.
One area you should look at if you aren’t familiar is cryptocurrency. This is the most powerful innovation in regards to regaining individual freedom - financial freedom - that has come in centuries. The ability of governments to print their way out of debt is coming to an end, and individuals all over the world are going to have an escape valve from corrupt elites.
This was kind of a rambling response, no beer involved. Cheers