i have spoken with 2 excellent chiropractors and also with a great neurosurgeon friend of mine. they agree that archery could contribute to, or exacerbate, neck problems but it also could be a result of posture, undiagnosed injury, etc.. one thing they both agree on though is that you have to work out BOTH side of the body which some of you suggested and i'm gonna be more conscious of from now on.
i have been to both chiropractors in the past and while they did certainly help it didn't totally cure the problem.
i think working out both sides, especially if you shoot as much as i do, is a good place to start.
thanks again for all the replies!!