Note that the reason for the strong skepticism of anthropomorphic climate change is that Conservatives, tending to skew older and be more historical minded, keep track of all the "environmental doomsday" predictions that have... not panned out. In the 70s there was a Global Cooling scare regarding a potential new Ice Age that was used to push environmental regulations. Then it switched to "Global Warming" in the 80s and it was predicted that the world had 20 years before the apocalypse. 20 Years later things were still going along relatively fine... but then it was revised to "Climate Change" and again a 20 year time window was given to avert DOOM. It's been nearly 20 years since then and DOOM predictions of the 00s simply... have no panned out in any real way.If you define conservatism as Rush Limbaugh and Ann Coulter? Sure. But most conservatives aren't anti-environmentalist, if by environmentalist you mean doing something effective about pollution. That said, their solutions to the problems tend to radically differ from left-wing solutions, and a lot of conservatives don't believe anthropomorphic climate change is a serious threat.
The problem is quite simple, while "doomsday" predictions tend to get the left riled up and the young energized, more conservative folks tend to look at such predictions and actions with heightened skepticism. Between the old failed predictions and the fact that apocalyptic predictions simply don't resonant with the more deeply religious right wing, using such calls to action in many ways has backfired against the larger environmental movement. Further, the most VISIBLE potential problem of rising sea levels, well... it doesn't effect most rank and file conservatives, some and consider, what locations are most liable to be negatively impacted by rising sea levels? Coastal cities. Where do Conservatives NOT tend to live in the US? Coastal cities. That issue? Not their problem, in fact, it's a problem for the people who most vocally HATE them. Yes, yes, there's negative economic impacts from cities being disrupted but those are secondary effects that don't really inform most people's gut reaction to the information.
Finally you get into the clear hypocrisy issues among the Greens that make Conservatives skeptical of them. Greenhouse gas emissions are a problem from power generation? OK, no problem, build more nuclear. But the Green movement is a major vocal opponent to nuclear power. So what is the REAL proposed solution. "Green energy" is not a mature technology, and even if it was, it's not something that really can supply the power demands of modern society and has all sorts of load issues and the like. As such, what it really seems Greens are demanding is that the US lower its standard of living and seem more like neo-Luddites at BEST and outright misanthropic are worst (given it has spawned things like the "Voluntary Human Extinction Movement" the latter seems MORE likely to many). That's a turnoff to a great many people.
And that's BEFORE we get into how many of the proposed policies by greens often seem more inspired by Marx than by concern for the environment, or the core philosophical differences in how many greens look to solve the problems compared to how Conservative philosophy would go about it.
So yeah, there's a reason Conservatives are skeptical of the green movement and the climate change stuff...