Well someone could make that argument regarding public land where hunting is allowed but it does nothing to explain why it's kosher to tell a private land owner that he can't hunt his own land on Sundays.

I don't see how these laws could stand up to a constitutional challenge in court. They are a clear case of using the law to force a religious belief on others. Even here in Alabama (Heart of the Bible belt) most of the blue laws about alcohol sales on Sunday are fading away. A no hunt ban on Sunday would never pass here.