I think Knopfler used a strat on that song? Thats what he's using in the video anyway. It sounds stratty to me as well.
Knopfler is famous for Strats (he has/had a Fender signature model, no?) and has also used Pensa Suhr guitars (which look quite stratish to me, at least). When he pulls out a Gibson LP (like on "Money for Nothing") you can hear the difference instantly. 8)
But hey, no prizes to any of us for observing that Knopfler has a fab single-soil clean tone! Other great cleans? Well, I'll +1 to Richard Thompson. And I'll say Jerry Garcia, too ... and the relatively unknown Steve Kimock likewise gets some great cleans. Oh, and Jerry Donahue! I'm interested to hear how the new Peavey Omniac he had a hand in turns out.
IMO, the BKPs for the clean tones have got to be the Apaches and Sultans, or Country Boys for Teles.