From what we know about quasars they have been measured to be the mass of a galaxy but only near one light week in diameter. This suggests that quasars are the most extreme gravitation.

Therefore it could be said that because there are two red shifts for a quasar(or anything else); one might dominate the other.

For a quasar I suggest that more of its red shift comes from its gravity than does its distance. There would also be an inbetween where there is no edge or prefered scale where quasars would be. Instead they would be equally distributed throughout the universe. Near us they would have the lowest distance red shift.

Mitch Raemsch

Massive central black holes in quasars have given the recession mob false readings so we have quasars connected to galactic objects close by but with hugely different redshifts.

How are we to distinguish and verify a completely collapsed star from a neutron star?

Cusa. A completely collapsed star is a black hole which we can detect by various means. It's light is hidden, unlike a neutron star.