Hard to tell.
At the time of the B-36, radar wasn't all that advanced like we know it today and airborne radar was quite rudimentary.
Night intercepts usually started with a ground controller carefully vectoring an interceptor to a point 2 miles behind the enemy bomber.
Now try to do that when there's a few hundred of these bombers entering your airspace at almost the same time, from all directions.
Add to it massive decoy deployment and you get a few ten-thousand targets up high, out of which you'd have to pick the real ones within a few seconds.
Remember the interception windows was pretty small, the fighters had comparably little fuel onboard, and they'd have to climb up all the way and chase down their targets.
Sure, the few patrols who would have been up in the air anyway, they might have caused a certain toll on the bombers.
But the majority would probably have gone trough.
This applies to both sides by the way.
The only advantage the U.S. had was that enemy bombers would probably all go in via the northern route, so you could concentrate your most advanced radar systems on a comparably "short" line.
Mike