I don't see how #1 applies to building roads. Roads are used by all of us, so we all get a benefit from the taxes we pay toward them. The same is true for services such as firefighters, hospitals, parks, libraries, etc.

#2, I simply do not see evidence that the marketplace is more capable of regulating itself. If that were true why are we still burning coal in power plants long after the acid rain problem has been clearly identified? Saying the marketplace will regulate itself is the same thing as saying we don't need traffic cops on the highways; it just is not true. 

My experience with big businesses is that they are more bureaucratic than government agencies.  The recent problems of VW and Wells Fargo indicate the need for more regulation.

Overall, I think your view is too narrow. You are ignoring a great many realities. Taxes do not result in less money in my pocket when I figure the value of what I get in return. Focusing only on reducing taxes is too narrow a view.