@Fil Albuquerque,
That sounds a bit redundant, I don't think that someone can be unintentionally disdainful. But I am not being disdainful, I am trying to point out that the "serious problem" has no solution and is not really even a problem.
Any "reality" that can't be objectively measured is inaccessible (by definition). It can't matter.
I am not sure if things outside of our reach constitute a "serious problem".
Our reality is based on the brain we evolved and the senses we have. We have expanded it quite a bit with our ability to abstract thought. But that's all we have, we live as humans and have a human experience occupying only the part of "reality" that is accessible to humans.
We have made some pretty cool (from my human perspective) advances in things that are objectively testable. This is the field of math and science where we are making prediction that we can then observe, and we are using science to make everything from flying machines to the internet. Sadly in the area of morality, we have no such mechanism to find anything objectively testable. So if there is a "absolute truth" in morality, it isn't accessible.
I don't see this as a problem. We are slightly advanced apes on a rather insignificant planet in the outer edge of a rather unimpressive galaxy. Why should things be any different?