PSA is already involved in WRC and endurance, so I don't really know if they can afford another program in motorsport.
Anyway I don't trust in a parallel championship, but if it is created, it would depend on the TV coverage, but I guess FOTA's championship would be broadcasted on the main TVs channels, so I'd probably watch it, but I would certainely keep an interrested eye on FIA's, which will be broadcasted on the satellite for most of the countries(I think so), with hopefully a fan-friendly athmosphere(read : none of the ways that already exist to try to attract most of the average viewers, like blatant chauvinism and so on) and some decent commentaries(I was really fed up with Allen).
E : So, yeah, I didn't vote on the poll as I'd have replied "the both of them", but this option doesn't exist.