The problem is we have immediate personal experience of our mental and conscious states "I think there for I am".
I don't see that as any kind of problem. The idea that it is a problem seems confused.
If science can't objectively see them that is a limit to sciences scope.
Since they are subjective, not objective, why would you expect (or want) science to "objectively see them"?
People like Daniel Dennet and The Churchlands want to undermine this domains validity so that they can claim it is less than it is but unfortunately I am an authority on my experiences.
No, you are not any kind of authority on them. You have misunderstood the meaning of "authority".
I see no valid reason to sacrifice this mental immediate realm for an ideologically loaded materialist dogma.
Nobody is sacrificing anything, as best I can tell -- unless you count woo-meisters sacrificing their credibility.
Fundamentalism - the anti-American, anti-Christian branch of American Christianity