The debate running over here regarding spiritual and physical kingdoms seems to me to be getting confused. To my mind, a straightforward distinction needs to be made between the place where the king is and the place where his reign takes effect.
Jesus became Israel’s king by his resurrection and exaltation to the right hand of God, from where he would rule until all his enemies have been placed under his feet. It’s misleading to call this a “spiritual” rule—the New Testament doesn’t; “heavenly” would be a better term. It’s a rule enacted from heaven.