True conservatism, in its purest sense, is not actually about capitalism per se, but a rejection of the assumption that all which is new is better. But that aside, most capital has conservative roots. It is the nature of accrued land and wealth to vest in fewer hands, and to run against redistribution and progressive trends to social equity. Many conservatives love land and nature, hate industry and development despite dependence on it for much of their wealth.
If this worries you, consider how much it worries the Chinese, Russian and like states: they hate progressives every bit as much as rightist conservative trends in the developed west.
Churches display the same thing btw. Young priests have to be warned against populism and progressive ideas in all faiths.
Personally I welcome anti progressive comments. They're interesting. They make me question my own progressive beliefs. I lose far more arguments than I win. In 61 years I have yet to feel less progressive than in my youth. Less revolutionary, perhaps.