I have owned both at the same time. I sold the AUG but it was a close second to the tavor. I still own the tavor and doubt that I would ever get rid of it. The tavor would be my "go to" weapon over the many ARs, AKs, etc. that I have if I ever had to grab one and go. The Israelis don't build crap because they really can't afford to do so when they are surrounded by enemies.
The AUG I owned was a nato stock which took AR mags. That particular variant didn't have a bolt release other than the charging handle (minor nitpicking). The AUG is a 1970s design while the tavor is much more modern designed by a country with extensive experience with the M4 platform. Some say it's an upgrade over the AR once you are accustomed to its different ergos.
The quick change barrel system of the AUG is something that is still truly revolutionary and unique (outside of the ARX). It's too bad that they don't make 300 barrels for it. Not that the tavor does, but both are limited to pretty much 5.56. The tavor does have the 9mm kit, but for its cost you could assemble a very nice 9mm AR. Plus, it's not simple to convert back and forth.
Personally, I did not like the AUGs forward vertical grip. Also, I fired it one time with the grip in the up position and let my hand wander a bit too far out to the right of the gun. Unfortunately, that was exactly where the gas piston system dumps excess gas. I got burned...literally. This was one of the reasons why I chose to sell it and keep the tavor.
I still miss the AUG from time to time. But if you handle and shoot both, you will come to the same conclusion that I did - the tavor is just a more modern design.
They are very similar. I found that the AUGs charging handle would interfere with optics more. And since I had the nato stock, I would have to use that handle on every reload. Also, I believe that the AUG is heavier or at least if felt heavier.
If I didn't have a ton of AR mags, or if I didn't mind buying the standard variant with the proprietary mags, I think the gap between the two would've been much closer. Both stock triggers are crap. The tavor has a drop-in unit available from Geisele (which I have) that brings the trigger almost up to the standards of a good AR two stage. It is not cheap, though.
I've rambled a lot but my ultimate opinion is still that the tavor is better.
If you have any more questions about certain features, please ask.
Edit: if the X95 was ever released to the American public, I would sell the tavor and buy one immediately.