But nobody is trying to do reduce away subjectivity using any particular method.
In fact, the whole idea of the brain DOING mind, which is where I'm standing, makes no sense if we are not all subjectivity experiencing it.
However, the premise that mind is 'stuff', existing independent of brain would require an example of this stuff existing free of the brain doing it to be seriously considered or discussed.
We haven't arrived at step one yet.
We don't have to. Some humans confuse in effect the objective and subjective.
As long as somebody that a subjective belief*, which works as giving rise to further behavior for which the further behavior works in accordance with how the universe works in practice, then the subjective belief* works as can be observed. Now the subjective belief* can be wrong as far as methodological naturalism goes, but it doesn't matter, because it is a subjective belief*.
Example: The belief in witches and the end result of burning them on the stake.
In short:
Unreal beliefs can have real effects.
I have now explained and informed you of how the subjective works sometimes. Now please explain, how that is not, how the universe works in part. You can't. You can claim it is wrong, but that is not science.
That is where we end and how some people do it. That has nothing to do with religion in particular. That happens within politics and morality a lot.