As it stands there are reasons to assume that there will never be a united theory of the world. Now I don't know the future and nor do you, but to start with something that bias your understanding of reality, because it limits, how you understand reality, could be problematic, if you want to be honest about what you can do and can't do. In the end to be a skeptic to me, is to be honest about the possibilities and limitations of being human.
That you accept that science is based on that -
the uniformity of Natural Laws over time and space -, is subjective in you and those who do so. You don't have to do science assuming that reality can be explain in the end with objective evidence and nothing else.
If I recall correct, you stated to the effect that "subjectivity is a problem". The joke about that is that subjectivity is only a problem subjectively. If subjectivity is real and a fundamental part of being a human, then you can't explain how the world or reality works if you deny it as relevant.
That is where it ends. It has not to do with you in particular, rather it is a bias in favor of objectivity, that overdo what you can do objectively.
In other words - since we are debating the world and you and I are a part of it, you can't claim objective authority over.anything. Nor can I. I am just pointing out that I do subjectivity subjectively different that you.
So here is how I view science. Science is a human behavior and since all human behavior have limits so far, I see no reason to start with the assumption that there is no limit to science. Of course, you can't rule it out, but if you start with the idea that reality/the world must make sense in toto, then you can't accept that it doesn't, because the assumption is, that it must.
So that is the bias in effect. The world has a set of Natural Laws that work for all of the world. That is not a given. Maybe there is a God, that created us in such a way, that our knowledge is limited and that includes the Natural Laws.
Regards
Mikkel