You need to lower the nut height (to your taste) and also shorten the first fret for about 2.4mm...I suggest you to file about 2mm then start testing the intonation before filing more and finally gluing.
Be careful tho, is a delicate process. I messed up the height and I had to mix some paper with super glue to compensate. I had to install it and remove it several times until I got it at the exact action I wanted.
At the end worked quite nicely. Couple that with good locking tuners and you'll have no intonation problems whatsoever. (Grover in this case)