Pilot Boots with Classic Skis? What binding?

Hi All,
I have a pair of Salomon Active 9 Pilot skate boots, and Pilot bindings for
my skate skis.

Question. If I am too cheap (read: spouse won't go for another XC Ski boot
purchase) to buy a second pair of boots... and I want to buy some racing
classic skis... how well does the pilot boot work for classic? I am not so
worried about the height of the cuff, just the Pilot system. Would I use a
Profil binding (will the boot fit?), or would I use the Pilot system on a
classic ski (I'm guessing no).

(I do have some heavyweight metal edged backcountry skis, with heavy Alpina
boots... but I am looking for a faster classic setup.)

Thanks in advance.
--
Mark Frost
Bedford, NH, USA