...Of course, I would still rate those as the strongest arguments as far as what the purpose of taxes should be. Anything not for group-use (and this includes handing out charity) can be done by individual people and/or organizations
Yeah, we are on the same page.
I believe these group-use services have to be paid by compulsory taxes, because these services cannot exclude any particular non-tax-paying person from consuming the service.
Wealth redistribution is a function of taxes in current societies, but not a primary purpose of taxes. Wealth redistribution is more of a moral obligation and/or political tool.
For the last 40 years the trend in wealth redistribution has been to concentrate earning power in a small percentage of society. Within the top 1%, incomes are as steeply varied as between the 99% and the 1%.
No-one voted for this.
Based on these facts, I would say that wealth redistribution is an accidental side effect of tax policy in current societies. The main main function of tax is to raise money to keep the market system running smoothly.