Common misconception; it's best to attack Mourinho from out wide. By narrowing the pitch, they force you out wide, and that's exactly what they want, because as mentioned, nobody is beating Terry/Cahill in the air. Even for driven low crosses, there's too many bodies in the way.
The best way to play and beat Mourinho is by getting fullbacks up in support, widening the pitch, making more space for Arsenal's intricate passing manoeuvres in the middle, and forcing the opposition back until they buckle. Alternatively, hope for solo goals, long shots and set pieces. Look at how Barca beat Madrid repeatedly, how Barca beat the dross of La Liga.
The downside of that obviously is that you're vulnerable to the counter. But you won't beat a bus team without being brave.