"Association" is also a poor choice because one can belong to an association and never communicate with its members.
"Communion" is a much more descriptive word when it comes to our relationship with God. So, if you are saying that those who are not in communion with God, through their own rejection of God grace, then, yes, I agree their reading of the Bible will be deficient.
But, at the same time, any human who shows mercy, if if he is a on-believer, is doing God's work, even if he or she is not aware of it or even if such work is not done to please God. Reading the Bible to do God's work is therefore not necessary, nor is faith reaquired. That much is certian from the Beatitudes.
Heb 11:6
(6) But without faith it is impossible to please him: for he that cometh to God must believe that he is, and that he is a rewarder of them that diligently seek him.
Any mercy or work performed without faith through Christ might qualify as human good, enduring a moment to perhaps even a couple of centuries, but at the Great White Throne Judgment will fail to qualify or comply to the standards of Divine righteousness.
Such works shall be burnt up resulting in a good which eternally is a good for nothingness.
On the contrary faith without love is nothing,