The situation you describe in your first paragraph can only happen with gov't assistance. Take away the gov't assistance and you see the rich fall much farther.
Here's the thing about pay in a corporate structure: There are greedy, paranoid people infesting the top tiers all watching each other. They don't have each others' backs the way we peons do. The only way they would let one of their own get paid millions is if they themselves also get paid, meaning the company would need to make a profit. I don't pretend to know the calculations they go through to figure out a fair salary for the top executives, but I do pretend to understand greedy paranoia.
Does money trickle down? Only when a coin squeezes out of their tight grip. The time that the engine of a company gets paid well is when someone with a long-term plan is in charge. Large corporations don't go for the long-term. The greedy paranoid people think of their own personal long-term plans. That's why they are diversified throughout the market. No, just about the only time someone with a long-term plan is in charge is when the owner is in charge. Think of Wal-mart. Sam had the vision. His kids don't. Steve Jobs has the vision. We'll see about his successor. Same with Bill Gates, Oprah, etc. Their people get paid very well. Wal-mart employees used to be treated very well.
My point is that rescuing mega-corporations actually harms the working stiff. Allowing them to collapse opens the field for new companies, with new owners, owners who thing long-term and know that the only way to survive the long haul is to take care of your people.