Classical hallucinations are like an overlay on top of reality. When you take lsd, for example, parts of the world around you seem to change. You perceive things that are not there.
When you take Ayahuasca you seem to leave the world. The beginning of the experience feels like real movement, in a way blended into trippy hallucinations. For example, moving at speed down a tunnel made of magical symbols away from the world. Accelerating at higher and higher speeds with sensations rushing over you until you hit a "take off" and the entire world seems to be left behind. At the height of the experience you "peak" into something indescribable, and then in the hours after the peak you get the bulk of the experience where you seem to be in another world. The "other place" that you go to is a lot like dreaming, but very intense.
Source: did a hell of a lot of drugs once.