It does sound kinda conspiratorial, doesn't it? Extradimensional beings with wills and also the power (to a lesser or greater degree) to enact said will. That's the kind of agency to which I am referring. I'm talking about sentience. Essentially consciousness or self-awareness.
"And the men which journeyed with [Paul] stood speechless, hearing a voice, but seeing no man." (Acts 9:7) This is referring to Jesus, by the way.
How often will you be walking somewhere, lost in thought, busy with the activities of your day and your life, and you walk by someone? A dark figure off to the right. And it was a tree, a lamppost. You knew it was a person because you felt it the moment you saw it in your peripheral vision and when you looked to confirm, that agency that you sensed immediately dissolved. Is it anything? Was it anything? Who knows. You keep walking. You didn't even stop.
I think for some people, the concept of a higher order of being is a mystery. It's something that they can wrap their mind around, sure. But it's not something they feel. Consequently, without the capacity to feel God, they simply don't believe. The other side to this is, those who are sensitive to God, and feel Him, might come across as, or remain an enigma to those who think that humans (i.e. carbon based) are all that make up the plane on which we live. When you put it that way... What I mean is, some people feel alone in this world. But not lonely. Anyone else who would sense (the best verb I have for it) anything else would be either weird at best, schizophrenic at worst.
The side of the angels
The belief in God from a Christian perspective, necessarily includes the realization that angels and demons also are. This isn't something to delve into from an objectively curious standpoint. Any angel that is holy is going to direct attention back to God and anything that's not holy would certainly want the curious individual to divert their attention from Him. And that's the conspiracy. Simple as that.
"Let no man beguile you of your reward in a voluntary worshipping of angels, intruding into those things which he hath not seen, vainly puffed up by his fleshly mind." (Colossians 2:18)
Sometimes, it seems that things happen in this life that are beyond our knowledge base and without our understanding. Notice the direction your mind goes after you experience an "unexplainable" event. Understand that, to the a non-believer, everything has a perfectly rational (read: natural) explanation. But fact is often stranger than fiction. Please understand that I'm not trying to open a window into the supernatural. What I am trying to do, however, is shed light on the way we perceive it. The Holy Spirit is the one who maintains and explains things that aren't discernible through mental means. But again, "the natural man receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know them, because they are spiritually discerned." (1 Corinthians 2:14, emphasis mine) Did you catch that? Spiritually discerned. Do you think that could apply to Christians? Any Christian who is not walking with God as they should, nor making an effort, could very well be missing out on the cues and clues that the Holy Spirit is seeking to intimate to them.
The writer of Hebrews (5:14) speaks of "those who by reason of use have their senses exercised to discern both good and evil." He's speaking of the word of God. It is of utmost importance that we know how to view these things through the lens of God's word. Through Jesus who is the living word.
"And the seventy returned again with joy, saying, Lord, even the devils are subject unto us through Thy name. And He said unto them, I beheld Satan as lightning fall from Heaven. Behold, I give unto you power to tread on serpents and scorpions, and over all the power of the enemy: and nothing shall by any means hurt you. Notwithstanding in this rejoice not, that the spirits are subject unto you; but rather rejoice, because your names are written in Heaven." (Luke 10:18-20)
It's the last sentence that keeps us from looking off in some other distracting direction.