No, you don't transfer those miles to the partner programs. It is not the credit card that has other airline partners, but rather the Alaska Air program. In your case, the miles remain in the Alaska Air program, but can be used for what are referred to as "partner awards" from Alaska Air. Refer to the Alaska terms and conditions or program information on their website to determine how to redeem awards on the other airlines using Alaska's mileage.
Djlawman