Gravitational red shift vs Doppler redshift: Is the universe really expanding? Is it possible that the redshift observed by Edwin Hubble is really from a gravitational redshift and the universe isn't expanding as he has predicted?

What I think I know thus far is this:


Redshift due to the Doppler effect of a moving object is happening due to universe expansion. Galaxies further away are speeding away from us faster than those close to us, hence having a stronger redshift effect. 
Gravitational redshift is happening due to light "escaping" the gravitational pull of the source (star) and it has nothing to do with the movement of such source.
Ultimately this is an application of Occam's razor

In order for the light to be gravitationally redshifted, it would have to be coming out of a deep gravitational well. For the red shift observed in galaxies to be gravitational, you would have to suppose several things. 

First, that the stars in distant galaxies are somehow much denser: more than neutron star dense. (or possibly that entire galaxies are as dense as neutron stars.) A neutron star has a redshift of about z=0.35 distant galaxies have redshift of more than 7. No known object has a gravitational redshift like that.

Secondly that the density is proportional to distance from us. Placing us at a special position in the universe. 

It is much simpler to interpret the redshift as a doppler redshift, and therefore an expanding universe