That is not an accurate characterization.
The core of Christianity can be summed up thusly: everyone sins and is controlled by a sinful nature, and therefore everyone deserves death. Christ's death frees us from slavery to sin and redeems us from the deserved penalty of death, and Christ's resurrection "births" us into a new and transformed life (which grows over time.) That transformed life is characterized by love, patience, reconciliation, forgiveness, mercy, humility, and so forth. Certain people are "not true Christians" because they do not display even the slightest hint of that new and transformed life.
Having wrong ideas, even a lot of them, does not disqualify a person from being Christian. Living a life that hasn't been transformed by Christ disqualifies a person from being Christian.
> "write how to perform an exorcism or a laying on of hands in a way that is understandable. That is the important stuff right?"
The "important stuff" is the stuff that gets mentioned repeatedly and gets described in detail. For example, a large percentage of the Bible is dedicated to teaching the concepts listed above. The ideas of sin, death, repentence, resurrection, and transformation are each given significant attention on their own. Additionally, several passages discuss the ideas all together; the book of Romans is a 16 chapter long, well-formed, detailed discussion of those principles.
Exorcism and laying on of hands are very minor, being mentioned on perhaps a dozen separate occasions, none warranting more than a few sentences as small parts of an ongoing narrative; as a whole they might make up a tenth of a percent of the Bible. Even so, when they are talked about, the discussion is very clear and completely understandable. There is no complex ritual surrounding either. Jesus, or someone Jesus has given explicit authority to, simply gives a command to a demon to "come out" or places their hands on someone, and the demon obeys or the sickness is cured. On occasion there is a simple prayer along the lines of "Father, heal this person." That all there is to it. Your assertion that they are unclear simply demonstrates that you're unfamiliar with the material you're trying to criticize.
> "He wants to prove that he exists, but not in a way that we will actually know [because of] free will"
Several times in the Bible, God blatantly shows His presence and power, and yet someone still rejects or disobeys Him. Overwhelming evidence does not render "free will" invalid; proof does not prevent disobedience. God's decision not to offer proof is clearly not about "free will".
I think it's simpler: God is more interested in advancing His goals than impressing people. Consider Jesus' miracles -- He never performs them as "proof" or in order to show off; He performs them as teaching or as acts of compassion. The few times proof is offered in the Bible, it's to someone who already follows God and is looking for confirmation that a specific message or messenger is from Him, in order to move them to action.
This is consistent with the experiences my friends and I have had. when my friends got GPS-style directions in prayer, they weren't "proof", but a means to an end. When friends gave, or were given, very specific gifts (often to/from strangers) because of a command given during prayer, it wasn't about "proof" but about God meeting someone's needs. When God told me to make myself vulnerable to someone who hated me, it wasn't about "proof", but about showing His love.
God continues to act in this world by truthfully instructing His followers. Now, if one person who I trust is His follower says "God told me X", and then X is wrong, the theory would be disproved -- so the theory is falsifiable. Amusingly, your counter-explanation of ghosts and white noise is not falsifiable; while I would expect ghosts and white noise to make the occasional mistake, they could just get really lucky.