I would switch your fleets around.
The F-35 for NORAD is a waste of resources. The main threat is old Russian (Chinese?) bombers releasing lots of ALCMs. For that you need a aircraft that can carry lots of AAMs. The F-35 doesn't have the internal capacity to carry large number of missiles and would have to mount them externally, negating its stealth capability.
The Rafale on the other hand has up to 14 hardpoints so it can carry lots of AAMs to take out Russian launched ALCMs. Perfect for NORAD.
The F-35 was designed, using its stealth and sensor/communication capabilities to penetrate enemy first lines defenses, not to chase after wayward aircraft, drug smugglers, aircraft hijacked by terrorists or worse case Russian/Chinese bombers.