I think he's the best swing bowler of all time. Marshall and Akram have been mentioned, but I think Jimmy is better as an out and out swing bowler (though would likewise argue those two were better 'all-court' bowlers).
Think of it like this. The cloud is grey, the atmosphere muggy, the pitch is Trent Bridge, the ball is a duke. You have to send one bowler from cricket history to bowl for your life... It's Jimmy. Every time.
Not sure he deserves to be in the side if Stokes gets off. Either way, Jimmy will last longer.