Bad question because it's vague and you're way over-generalizing.
I'm not a conservative; I'm way over on the left. But there are many conservatives who love the natural world, at least as they understand it and experience it. They hunt and fish in the environment; they take their kids on camping trips; they appreciate the beauty of nature as they go about their work as farmers, ranchers, traveling salesmen, truck drivers, etc.
However, the conservative movement and the Republican Party, at the top, are dominated by libertarian believers in the "free market" who reject nearly all government regulations, including environmental regulations, as "socialist" and evil.
The Republican Party and many conservative think tanks, like the Heritage Foundation and the Cato Institute and Competitive Enterprise Institute, also receive millions & millions of dollars from big oil companies, coal companies, mining companies and other business interests who want the "freedom" to pollute & if necessary destroy parts of the natural world for profit.
The truth is that many individual conservatives & their families continue to love nature and continue to think that protecting it is important, but their movement is shaped at the top by rich & powerful men & private corporations that consistently work to hurt the natural world and then spin convincing stories about why this has to happen in the name of protecting freedom & jobs & prosperity.
The ordinary conservative probably goes along with this partly because the elites at the top lie about what they're doing, partly because grassroots conservatives are told this is the only alternative to "liberalism," which is supposedly always bad.
-- democratic socialist / former teenage libertarian conservative