The issue is that the internet isn't made up of individual computers that are connected. It's what's connects each computer. You own (or if you rent, the landlord owns) what's inside your building / home / whatever. Beyond that, the lines that connect to your home back to the switching office of whatever service provider you have is not owned by you. So if you are using DSL, your copper line / fiber optic cable that runs to your house is owned by your telephone company who is also likely to be your ISP. Same goes for cable companies. This cable runs back to their switching building. All the equipment is owned and maintained by your ISP (or is leased by your ISP from the owner). This switching office then ties into your ISP's network backbone, which is then connected to the lines that make up the internet backbone. The internet backbone is owned and maintained by the large telecoms / cable companies. All of this infrastructure costs money to build / expand / maintain / upgrade / etc. No one company owns all of the internet backbone. Just in the US, it's made up of a few large companies. Your ISP has to pay to access it, if they aren't one of the owner of part of it. It's a very complex system.
The only way to access it directly would be to run your own lines to everyone's house, down to your own switching office. Then you would need your own local network backbone which you'd connect to the internet backbone. At this point you haven't bypassed your ISP, you've become an ISP, and you better be rich, because it's going to be expensive.
There is simply no way to bypass an ISP. If you are very technically minded (Network Design Engineer) and knew the in's and out's of your ISP's network, you "might" be able to hack your way through the ISP to the internet backbone. However they are pretty good at monitoring their own networks and would eventually discover the intrusion. And since you need some sort of hardline back to their office, it wouldn't take long for them to back track you to your location once they detected the intrusion.
What you are talking about is almost impossible, but definitely impractical. It sounds like you have a hate on for your ISP and ISP's in general. I don't necessarily blame you. However the internet is not like electricity. You can't just throw up a wind turbine / solar panels and take yourself off the power grid. The internet is a global cooperative of networks.