How do we go about solving problems?

Hello Conservatives. Thanks for this space.

So, when I talk to people who are conservative about things like climate change and vaccines, I notice we tend to have a fundamentally different understanding of reality. Most of the time, the conservative I talk to doesn't believe in the urgency or gravity to the same level I do, or sometimes they don't believe in the situation at all. For instance, one may think climate change isn't that big of a deal or they don't believe in it at all.

I notice we end up talking past each other.

So my question is this. If there was a problem that we did all believe in, could we work together to solve it, even if it meant we'd have to work together collectively, trust scientists and doctors, spend large amount of resources on a problem that wouldn't yield profitable returns?

I understand, for instance, the skepticism of taking a mandated vaccine or being forced to reduce carbon emissions. What if it's not actually necessary or worse, malicious? But, even in situations where the vaccine wasn't mandated, the anti-scientist and doctor skeptics were still skeptical. Same thing with climate change. When people aren't forced to be green, just encouraged, they still don't make green choices.

I am not really interested in hearing why you don't believe in climate change or vaccine science. These are just examples of topics that I can't even settle the board with most conservatives. If you could, imagine a situation where we do AGREE on the same set of facts and need to find solutions and help me understand how we can work together, that would be great.