Fox News polls don't skew to the right. If anything they are left of average in most polls. Fox News contracts to a joint operation with 1 D pollster and 1 R pollster just like Politico does with the Battleground poll.
Look all of the pollsters were getting more D respondents over a week ago and now all of the pollsters are getting more R respondents(than before) over the last week.
As I said before this is likely because of the 10% response rate in polls. If only 10% of the people you call participate than there is likely some self selection going on where the party that is in the better mode is more willing to respond to the poll.
By the way, question... These flash pollsters call people ahead of the debate to let them know that they'll be calling back after the debate, right? I mean it seems like they would have to because otherwise the amount of staff needed to turn out a flash poll in about 1 hour would insanely cost prohibitive.
FoX News ordinarily has two sets of polls -- honest ones by Opinion Research and R-loaded polls by Rasmussen.
