Rapid? Well, I'm no expert but it's my understanding that the victory of heliocentricity was a complex process, effected not by any one crucial observation but by gradual assimilation. Galileo brought the matter out in the open in 1610 with Sidereus nuncius. Despite opposition, heliocentricity was not RULED OUT, the way that the western scientific community RULES OUT psi. Perhaps modern western science is more against psi than the old church was against heliocentricity?
The acceptance of psi will likewise be a gradual process. Science "advances funeral by funeral". The 'old guard' of the reigning paradigm will die off eventually, and a new generation...one more open to new paradigms...will rise.