Rationalists, mostly self-identified.
> how can they estimate the probability of a future event based on zero priors and a total lack of scientific evidence?
As best as they can, because at the end of the day you still need to make decisions (You can of course choose to do nothing and ignore the risk, but that's not a safe, neutral option). Which means either you treat it as if it had a particular probability, or you waste money and effort doing things in a less effective way. It's like preparing for global warming or floods or hurricanes or what have you - yes, the error bars are wide, but at the end of the day you take the best estimate you can and get on with it, because anything else is worse.
Which is to say that you've made an estimate that the probability is, IDK, <5%, <1%, or some such.