SERIOUS ANSWER:
It's kinda difficult to see Carey and O'Hurley switch roles, only because they've been on their respective shows for two and three seasons, and have both added their own hosting styles to the show. However, I'm inclined to say it would be easier for Drew, given the comedy background, as somebody else mentioned.
They could do the April Fools switch like Pat and Alex did way back when, but Price and Feud a) aren't truly companion shows, and b) don't usually air in tandem in 90% of the country...so it might throw some viewers off. If this were 20 years ago, when both shows aired on CBS, I'd say "Sure!"
JOKE ANSWER:
Lots of love.