Full Idea
I believe the contemporary infatuation with possible worlds in philosophy stems in part from a tendency to think that technical logic offers silver-bullet solutions to philosophical problems.
Gist of Idea
The love of possible worlds is part of the dream that technical logic solves philosophical problems
Source
Michael Jubien (Possibility [2009], 3.2)
Book Reference
Jubien,Michael: 'Possibility' [OUP 2009], p.67
A Reaction
I would say that the main reason for the infatuation is just novelty. As a technical device it was only invented in the 1960s, so we are in a honeymoon period, as we would be with any new gadget. I can't imagine possible worlds figuring much in 100 years.