All those stars/galaxies are receding, going away from us.
False!
M13 is 22,200–25,000 light-years away from Earth, and the globular cluster is one of over one hundred that orbit the center of the Milky Way.
-Wikipedia
Aside from the fact that this cluster is locked in orbit around the center of our galaxy, it is also far too near to us for Hubble Expansion to be a factor. (Hubble Expansion is significant only for distances on the order of tens of millions of light-years.)
Regards,