Cars and Coffee is something they do in Kalifornia. In general, here in AZ our gatherings are called "cruise ins" and almost always happen in the late afternoon into the evening. There have been several morning gatherings attempted but all lack longevity. Some car shows start early.
Look in these places for all local AZ car events:
http://www.cruisinarizona.com/
http://www.desertcruisers.com/index.php?stateid=AZ
AZ Bob