Or how about this. Some people might think the climate is important, but might not agree that it's linked to global capitalism in the way you claim. They might point out, for example, that communist countries tend to have horrific environmental records. Even many of the socialist "utopias" aren't really any better.
My point here isn't to argue about climate change, but to say that while it's perfectly legitimate for individuals to support a variety of causes, it's by no means clear, in most cases, that all political causes, or social justice causes, are linked in the way that the progressive left seems to assume.
I suspect this comes back to the tendency of this group to also assume that people who have differernt political views are evil, or dim. The idea that all conservatives don't care about social justice or poverty, for example, which is manifestly untrue. The truth is they typically have different views about the causes, and what effective solutions might be.
I think one of the most foundational differences is the Utopianism mentioned above - I had never heard Camus on that but I think he is spot on. Progressives have inherited a mystical faith in the progress of the World Spirit, albeit in a materialized form defined mainly by Marx. The final goal is utopia and so they are always looking for the total perfect solution, the right side of history inevitably moving to its perfect end.
Conservatives don't have that view, they typically see pragmatic problems, often related to limits of human nature or the environment, that can't be changed in any fundamental way. Policy approaches to mitigate them have to work within those limits, and also usually involve trade offs of one kind of another. Good politics and good policy means navigating and balancing the interests of individuals and groups in society while managing the trade offs and limits of nature.
Progressives can't accept that those limits exist, this is why they are so drawn to various kinds of constructionism. If there are limits, that means their Utopian end of history can't manifest through perfect policy decisions.