I think you are wrong about that kind of narrow interpretation. Paul quotes and interprets Isa 52:11 for us.
2Co 6:14
Be ye not unequally yoked together with unbelievers: for what fellowship hath righteousness with unrighteousness? and what communion hath light with darkness?
2Co 6:15
And what concord hath Christ with Belial? or what part hath he that believeth with an infidel?
2Co 6:16
And what agreement hath the temple of God with idols? for ye are the temple of the living God; as God hath said, I will dwell in them, and walk in
them; and I will be their God, and they shall be my people.
2Co 6:17
Wherefore come out from among them, and be ye separate, saith the Lord, and touch not the unclean
thing; and I will receive you,