You do realize that every day you live on this earth, you are using up resources that all tax payers collectively pay for, right? I mean if you want to be completely self sufficient you could move to Alaska and live off the grid and then say that you deserve to keep all the money you make, but I think that you will find living a bit more difficult.
Who knows exactly how to calculate what is fair in terms of how much taxes each person should pay, but can I assure you that if many things in this world weren't socialized, life would be very difficult. Each day you drive somewhere, you are using a public road, and every minute of the day where you feel safe walking down the street and not being scared that someone is going to kill you means that there are public resources at play that protect you. Heck, even having the ability to buy a house, as you suggest, means that some public entity is making this option available to you and will enforce the fact that this is your property.
If you want to pay nothing, and expect things to continue as normal, this would be being a hypocrite, and if you just want to pay for the things you use piece by piece from some sort of purely capitalistic system, then prepare to be really sodomized.
You see, I find rich people extremely hypocritical. They think they work so hard and deserve to keep every dollar, but what they always fail to realize is that they are benefiting hugely from the system running as it is. The very notion that a company can hire an engineer means that for many years, the public system was paying to teach that kid while in school. Public roads ensure that employees are able to get to work. The police ensure that workers aren't randomly shot dead on their way to work. Just the fact that there is a strong social system means that people have time to waste on stupid things like iphones so that all those execs could be rich and shareholders could have cashed in on the huge stock gains. If it was truly everyone for themselves and each person benefited from their own hard work or suffered from their own laziness, we would all be spending 100% of our time on food and shelter, and rich executives too would be out there fighting hard just to survive.
The social system is what allows certain individuals to be rich. So keep this in mind.