One of the reasons skepticism can’t get you there is the fact that it’s always possible to ask questions like, “Why should I care?”
There are answers to questions like that, but skepticism isn’t the source of the answers. Skepticism will just keep asking why we should care. Skepticism won’t necessarily accept the answers. There are no skepticism-defeating answers to questions like that. There’s no “proof” that humans should look after each other.
That’s why some of us are getting so fed up with skepticism. There are people who think it’s the universal tool, that it’s the right way to approach all questions, that if it’s still asking questions then somebody is pulling a fast one.