Hi Troy!
At the few clubs I fly in there are training programs in place to ensure pilots advance to a skill level where they are capable of putting their aircraft where they want it and comfortable enough to spare concentration to be aware of where other aircraft are relative to them. That being said, we don't allow more than 4 aircraft in the air at once (unless it's a special even like combat).
Courtesy and communication are the pieces that make it work. Unusual situations like a 'deadstick' landing, a person going 'on the field' or a even a 'low pass' must be called (I quoted the terms to be called).
Flying rules establish priotity (eg. 'deadstick' has priority over everything except a person 'on the field'). When a frequency conflict occurs, it's expected that the people with the conflict will co-operate and share (sandbox rules we learn in pre-school).
Some clubs establish too many rules to compensate for rude behaviour, I don't enjoy flying at these fields as they tend to have these rules to control a larger than usual number of rude members.
At the clubs I fly at, you must be a member (dues pay for upkeep, eg. rent, grass cutting etc.) but, you can bring a guest. However, after several visits as a guest you are expected to join.
If someone shows up from another club, I generally invite them to fly as my guest and hope for the same from them if I visit their field.
You must be a MAAC or AMA member to fly at most clubs. This is to ensure insurance coverage.
Hope this helps!