Good point. Here is a good link to the current cosmological model: http://science.nasa.gov/astrophysics/focus-areas/what-powered-the-big-bang/If the standard cosmological model is correct, the separation exactly corresponds to the change in CMB temperature over time.
And yes, I can see how, if the generalized separation of the galaxies and the sameness of the CMBR coming from all directions at the speed of light would have to precisely correspond to each other, since they are both caused by the same big bang event. The link discusses the connection according to the model.
It is easy to distinguish between observations and theoretical physics, and the main observations mentioned are 1) the expansion and inflation as indicated by the raw redshift data of the light from distant galaxies, 2) the Cosmic Microwave Background Radiation as measured in all directions by WMAP, and 3) what we can observe about fundamental particles that make up the Standard Model of Particle Physics.
We have General Relativity and the Cosmological Principle at the macro level or observable astronomy, and we have quantum theory and quantum mechanics at the observable fundamental particle level and the unobservable but clearly quantum nature of particles. The rest is the best theoretical physics available to man.