The following is my personal view of Buddhism and psychedelic use:
The 5th precept in Buddhism is to abstain from alcohol because it causes heedlessness. By extension, other drugs such as cocaine or morphine would also be banned. But if, for example, a person is severely injured, morphine would be permissible to use as a medicine against pain.
Psychedelics, if they are used medicinally, do not conflict with the precept. If they are not used medicinally, they do come in conflict with the precept. Not coming into conflict with the precept does not mean, however, that psychedelic use is a supplement to Buddhist practice, any more than penicillin is a supplement to Buddhist practice.
In order to be a supplement to Buddhist practice, and not just a general medicine which is compatible with the 5th precept, psychedelic use must assist one in somehow recognizing, managing, transcending, and/or dissolving the three poisons of greed, hate, and/or delusion. If psychedelic use can accomplish this, it is more than just a general medicine which is compatible with the 5th precept; it is then a genuine supplement to Buddhist practice.
Conflict with the precept, compatibility with the precept, or even supplemental status to the practice, depends on how psychedelic use is undertaken.