Clapton Strat tone: Lace Sensors. (I'm having the classic Red/Silver/Blue trio fitted to mine right now but I think he used three Gold)
Gilmour Strat tone: EMG's.
BKP only do "true" singlecoils, ie, they hum.
Also worth bearing in mind that Clapton Strats have a built in active mid-boost circuit so, when combined with the Sensors, he gets a hum-cancelling singlecoil sound with a midrange hump for a bit of extra power.
EDIT: Excuse me, I just checked and the actual Fender Clapton Strats DON'T use Lace Sensors anymore, they come fitted with Fender Vintage Noiseless pickups at the moment.