That is high, my guitars all measure just under 1mm at the 12th fret and just over 1mm at the 24th fret. *The action is very close to the same all along the neck. *You may need to do a slight neck adjustment to achieve this, but 2mm at the 12th fret is very high. *One thing you may run into is the trem sitting to far in the body, and not being able to pull up, or even not being able to dive very far. *If that happens, you will have to remove the neck, and put a shim in it to tip it back a little further. *This allows you to raise the trem, but keep the action lower. *make sure the neck is straight, if anything it *should have the slightest of forward bows to it. *NEVER a back bow or you'll have fret buzz constantly, to create a forward bow, you need to loosen the truss rod off slightly. *Play the guitar measure the action and adjust it until you are happy.