Where do you disagree with Shapiro? As someone who considers yourself a conservative, I’m genuinely curious just who you align with.
I believe in capitalism -- private enterprise and free markets -- as the default settings. Most of the time, that is going to produce the most goods and services at the lowest price. We do need some regulation to protect against predatory practices. Moreover, we should be prepared to consider some degree of public ownership and / or central planning when free markets fail. In fact, we do that. The main areas where private ownership & free markets don't work all that well are healthcare & healthcare financing, transportation, and education. It is no coincidence we have made huge public investments in all 3.
I am not familiar offhand with Shapiro's take on public education or transportation, but I know he repeatedly says free markets are the solution for healthcare; which is utter nonsense. Few could afford healthcare without healthcare financing, but insurance has to be radically repurposed and heavily regulated to serve as an effective healthcare financing tool. Most people are either insured through Employer Sponsored Insurance (ESI) or Medicare, both of which are government programs that would not exist as such in a free market. ESI is less of a government program, but it is still shaped by government regulations and is partially financed by tax subsidies.
Also, on climate change, Shapiro sounds relatively reasonable compared to the outright deniers, but, in the end, he is more wrong than not.
Overall, he strikes me as a reasonable sounding ideologue who believes in Capitalism as dogma. I am more of a pragmatist who recognizes that, despite some excesses and limitations, capitalism is the best economic system we've got. We just have to mitigate against those excesses and limitations as appropriate.