BA miles do
not count.
You will receive credit for miles flown to your Mileage Plan account but your BA miles do not count towards MVP/MVP Gold status nor the 75000 mile
challenge. Neither do CO's, HA's or QF's.
All of this is detailed in the Mileage Plan section of Alaska's website. Here - read all about it!
http://www.alaskaair.com/mileageplan...rs_Airline.asp