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As to the OP's issue, you can't necessarily tell much about a setup from bridge height alone, since the geometry of a guitar has too many other factors.
Generally speaking buzz everywhere suggests a bridge that's too low (irrespective of its height from the body, but relative to the fretboard), but more buzz at higher frets suggests a relief issue too. Ideally you want just a tiny amount of relief - you can check by fretting your G string at the first and last frets and looking at the gap between the 9th fret and the string. There should be a small gap, but it should ideally be less than the thickness of the high e. If the gap is too big, you can tighten the truss a little. If no gap, you should loosen it.
Once you have the neck (almost) straight, you can set your overall action by moving the bridge height.
Action is as below with 9's (yes, I know, JMs are built for 13's...)
It does seem quite a bit higher than most others'
If you have buzzing with that action then relief is the next thing to check. You probably have it too straight or even back-bowed a smidge, especially if it was previously setup for 9’s (as a lot of new guitars are) and you now have 11’s on it now.
If the neck is straight (ideally just a fraction less than straight, bowed towards the strings), then it suggests an issue with fret heights, in which case you need someone to level them.
But sort out relief before you do anything else.
FWIW I actually like a decent sized shim and a high bridge to move the feel a little closer towards a Gibson’s thing
http://i.imgur.com/LjQ6ImX.jpg
And I’ll do a 12th fret... these always make the action look waaaay higher than it is - in reality I like it low. “Fag paper low” as Jack would testify.
http://i.imgur.com/ITBbuZQ.jpg
Had my friend look at it at the weekend (he's more knowledgeable than me and has built his own guitar) and managed to get the action sorted!