My point is simply that doubt is not anything that God is afraid of. He says more than once, "Come and let us reason together, saith the LORD.". Obviously, He does not expect doubt to REMAIN but that any doubts we have He is more than able to address and dispel. There should be no more doubt since God is a rewarder of those who diligently seek Him and He WILL be found when we search with all our heart. We ARE human after all and prone to want "proof" for what we base our beliefs upon, but God wants there to be faith first - a step or leap of faith, so to speak - and THEN He will reveal Himself to us. What many people do not realize is that they exhibit faith all the time, in various ways, and that it is not anything with which to be ashamed. It does require that we let go of our pride a bit and open ourselves up to how our Creator chooses to relate to us. Without faith it is IMPOSSIBLE to please God and he that comes to God must believe that He is. So, rather than "planting a wolf in the middle of the flock", as you said, I really wanted to make it clear that doubt is a normal human emotion but not anything God cannot or will not address AND answer. Having doubt is NOT sin, only choosing to REMAIN in doubt after God has made himself known.
Doubt is the opposite of faith.