A couple examples. They are both common viewpoints that came up in low-key conversation. Other cases are similar. Self-described conservatives vs. liberals I know, seem to adopt a different set of highly correlated views.
Self-described conservative friend: Specific views about dealing with cultural differences that require some kind of resolution. The desire for immediate "simple" solutions, without any signs of awareness or respect for the "others" and why solutions were not attempted before.
My view: Patience is necessary for a real solution. Resolving these kinds of differences takes time, and often is best done case by case directly by the people involved in each situation until a common pattern emerges. The people needing accommodations deserve some extra respect, for the lack of it that made them invisible until recently.
Self-described liberal friend: Inability to consider economic closure over environmental costs, so the market maximizes resource/impact efficiencies relative to their actual costs. The dissonance being this would raise prices.
My view: We are destroying the environment, which economically should be viewed as a commonly held asset, not an unowned asset. The result is we are not optimizing its future value. Any (slowly introduced) rational pricing optimizes both costs and efficiencies, and incentivizes improvements for both. The longer we wait, the more damage our economy subsidizes.
These are reasonable intelligent people. I cannot tell you their nuanced views, just their reactions and a common human theme: reluctance to go deeper.