This is an underappreciated issue.
A lot of people don't really understand how potentially transformative a powerful psychedelic experience can be, particularly if it entails a classic mystical experience.
A common characteristic of them is that they are experienced as "more real than real", that valuable, even sacred truths and insights are revealed, and often what is revealed seems indubitably true, or at least at a deeper level of truth than something like mere belief.
After such experiences some may come to question what they experienced, and may come to doubt it or re-interpret it in a way that they couldn't while under the effect of the psychedelic, but others can't or won't.
This may be due to a number of factors.
First, few people have a very developed critical faculty. Most are not used to questioning their own perception of the world or their beliefs. When faced with such an overpoweringly true-seeming experience (perhaps the most powerful of their life) their instinct is to take it at face value and believe.
Many of them are also seekers, looking to be convinced or converted, or in some fashion already believe something like what the experience reveals, though sometimes true converts are made (like atheists becoming theists, radical switches of political orientation, etc).
This can happen with any powerful psychedelic, but there are some special factors to consider for ayahuasca (and other psychedelics, like peyote, which have a long history of indigenous/shamanic use).
As far as ayahuasca goes, the people who facilitate ayahuasca experiences and the groups of people who take part in them (as ayahuasca is usually done in groups) often share and reinforce beliefs similar to what you described, both before and after the experience. There are also lots of articles, videos, and podcasts which tell people what to expect. This primes people to have such experiences, then interpret them in the way everyone else seems to, and accept them as true.
Talk about travel to other dimensions, the spirit world, entities like "Mother Ayahuasca", super powers, time travel, precognition, communication with the dead, etc are common, and usually discussed quite uncritically, as if none of this could possibly be anything other than absolutely and unquestionably true.
There are some skeptical, experienced voices, but they are drowned out by the believers.
Now, if the believers are right, then maybe this isn't a problem. But the thing is that there are many incompatible supernatural belief systems that people buy in to through psychedelic use.. from a belief in a world controlled by demons to a belief that everything is love, to Charles Manson and other cult leaders being gods, to more humble and peaceful beliefs, and it's hard to imagine how they can all be true.
Fortunately, the belief systems that most users get in to tend to be peaceful, constructive, and caring. But I am concerned that some people will get themselves in to a reality tunnel that's not quite so benign. It has happened.
Charles Manson's abuse of LSD was probably the most infamous example of this in recent times, but if we look at the belief systems that psychedelic users adopts as new religions, we only have to take a look at the history of religion through the ages to realize that quite bloodthirsty strife amongst believers is common, and still goes on today.
I sincerely hope that such a bloody future is not in the cards for the newly flowering psychedelic faiths.
To guard against this and increase the odds of safely navigating the psychdelic realm, it's probably prudent to cultivate a well functioning BS detector, and maybe have someone you respect and trust who you'll listen to if they call you on your own BS if you're somehow unable to, and maybe make you think twice for a second about you being the Second Coming of Jesus or being able to cause earthquakes with your mind.