Oh, I didn't know that "billionaires as a class" digged roads, erected buildings, manned trains, stores, telephones, farms, factories... "The low income households didn't build it", you have a very twisted definition of what that means.
You're ignoring that there is more to creating something than just paying for it. Someone had to exist and sacrifice their time and also their body (construction is dirty and taxing work) to build the infrastructure. By saying "Regardless, the middle income household certainly did not build it." you are not only disrespecting the work, you're also failing to understand what money really is about. It's one thing to be, narcissistic, ignorant and rude, it's another to be plain stupid.
I can trivially mint my own currency and become a billionaire yet I am unable to build infrastructure. When a street is about to be repaved I don't see any billionaires around, all I see is workers doing their job. Money on its own is worthless, it's just a convenient fiction that functions as a lubricant to make trade easy. Without a second party accepting your money on the other side you can't do anything with it. The power of a billionaire doesn't lie in their money, it lies in the ability to steer thousands of people to work for the billionaire. The middle class IS the wealth of the billionaire.
People are weird and think the abstraction is reality. Maybe it becomes clear when you look at a retirement scheme. Many of them are based on the idea that you contribute to a pension fund while young and that pension fund is immediately paying out to retirees. Doesn't this sound odd? Isn't this a pyramid scheme where we need more young people than old people? Why aren't people saving up their own money and then use their own money during retirement? Because that can't work. Imagine a closed community with 10 people who do not have children but are working and saving up money. Now all of them have retired and each of them has $1000000 saved up. Everyone is a millionaire but there is no food because everyone retired, nobody is working on the farms. The money only had value because there was a community of people working in exchange for money. Once the workers are gone, so is the value of that money.
Money and labor are tied together because all material goods are the product of labor (including infrastructure). Each dollar you own is just a promise that someone else will work for you. Billionaires just managed to get a lot of people to promise to work for them. That's why they don't have to work themselves.
