I'll be very interested to see how replications of this study go (probably quite well - I like Carhart-Harris's other work).
The only thing is that I'd be careful about how people transfer this research into making generalisations about specific people who use psychedelics. I mean, just because someone does psychedelics, it doesn't mean that they'll have particular political views or values.
Both sides of the political spectrum have interest in psychedelics. One of the many things I have learned from observations in my group.