For the task of intercepting russian bombers, you need only two things: high speed and long range, i think the gripen NG is better at that task.
If norwegians intend to join on a bombing campaign in middle east, F-35 would be the platform of choise, particulary in the opening hours.
Gripen may still be a better bombtruck once the door is kicked in tho, due to lower operational cost, higher sortie rate, and less maintenance demanding.
It may also have one other ace: it was built from the outset to operate from improvised airfields, (roads), so it could possibly be stationed on a forward base in a place like Afganistan.