It's absolutely a black and white answer. If you think some services can be provided at the barrel of a gun, that counts as a yes.
I realize that you are angry in being told what to do by a government. I totally get that.
However, I think the anarcho-libertarian utopia can never exist. I would be totally down with a society that doesn't need government, and everyone treats everyone fairly and nobody steals from eachother. But the moment more than two people have to exist with each other, one will find a way to take something from the other.
If my neighbor decides he needs my money, he could come to the door with a gun and demand it. I could go mad max and try to shoot him before he shoots me, but I am glad that I paid a reasonable tribute to my local government so that there exist police that deter this from happening.
I could live in Somalia, and go mad max on the local warlord that shows up with his militia to demand tribute. There I would have no choice but to capitulate or fight.
I live in the United States, and I pay tribute by mailing a check when filing my taxes. It may be onerous, but it could be worse. The rules are decided in a democracy rather than a dictatorship, and I am fine with that. I realize that you are not OK with it. We disagree.
But the world that is the ideal anarcho-libertarian utopia does not exist. I've been to places in the Pacific-Northwest where entire communities live off the grid, but there are people with guns that are in charge, and those who don't follow the rules are made to leave.
As for your question, it proves you don't have a private sector job. If you did, you'd understand that private sector workers get paid by contributing to society. People WILLINGLY give me money to build websites for them. I don't have to threaten them to pay for my services, whether needed or not. The fact that people pay me more than I even need for my standard of living, proves that I produce for others more than I consume.
If you are an active tax-resister, then I hope you would be aware that if a client files a 1099 to report what they paid you, that the IRS may come after you. I once did this, and when it caught up with me several years later, I paid the taxes with penalties rather than fight off government agents in a gun battle.
I am not a public sector employee, and in fact, I run several businesses, and file a couple of schedule C's a year. I pay my taxes because I don't want men with guns to come to the door, I'd rather work and make money than waging war against the federal government. I do not think there is anything inherently wrong with being a public sector employee.