I actually have that kind of experiences (mostly on a subtle level, but sometimes more intense, to the point that tears might well up) regularly as a result of my meditation/spiritual practice. For me it is more "seeing the divine expressing itself through the person" or feeling a particular kind of universal personhood in a tree, as if that particular tree stood outside of time, representing all of life. It can also happen with my own emotions: sometimes I will feel sad or angry, and the feeling will transform from "my anger" to "an expression of cosmic anger" or "the Divine expressing itself through me as Anger".

It might be a bit different from the experience described in the citation, but to me that description definitely sounds familiar (in particular the simultaneity of the particular and the universal). The effect of my practice on my daily life and the way I relate to it also sound pretty similar to the way some use psychedelics for spiritual or therapeutical practice. I actually lost quite a lot of my appetite to experiment with psychedelics since I started this kind of practice.

I mostly practice following the teachings of Rob Burbea, but I am also fond of reading texts from mystics of the Abrahamic religions, and this kind of experience is also reported regularly in that context. Mother Theresa for instance, when asked how she could stand being at the contact of so much suffering, said something along the lines of "I look into the eyes of my patient, and what I see is the glaze of my beloved Christ".

Addendum: I now read the article from which the citation comes, and the similarities with "imaginal meditation" and "soulmaking dharma", both in terms of experience and in terms of insight are striking. Pretty much every paragraph I thought "yes, I experienced that". Obviously, the experiences one gets by meditating 30 minutes a day are far from being as dramatic as what one gets under the influence of ayahuasca, but by getting them almost daily, I am not sure that the long term effect is lower. It might even be greater, because by meditating one trains to cultivate those ways of perceiving, rather than being "forced" to experience them.

If you are curious I definitely recommend checking out rob burbea's talks, e.g. here: https://hermesamara.org/teachings

I have, though not on DMT (I find it a little too mind-shattering for that level of conscious thought).

Hallucinogens generally tend to make concrete thoughts more difficult, and abstract ideas easier. E.g. it is harder to see someone farming as a farmer, and easier to see them as a member or representative of a group united by farming. Sometimes there's even a sort of recursion; that person is a representative of farming, but also more generally a member of the city, and a member of humanity, and a member of animals, and a member of living things, and a member of the universe. The Farmer is prototypical of farmers, but also of life in general.

I think that's the root of the psychedelic idea that all things are interconnected at some higher plane. Every living thing is unified by being prototypical of life, despite knowing that many living things share little in common in the same way that that farmer may share little in common with other farmers beyond profession.