One reason for the Israeli draw is that it works with probably 95% of all semi-auto pistols with about zero training once the weapon is loaded. This means I can hand you a loaded Hi-Power, a Glock, a M1911A1, a Makarov, a Stechkin, a CZ75, or whatever pistol (other than a Luger, a Borchardt, a Mauser C96, or something without a conventional slide) and you can stuff it in your belt and have a reasonable chance at running the gun.
See, back in the day, the Israelis had a hell of a time procuring military equipment in any large quantities. What they did have, was a massive number of non-standard guns. This means--unlike a more typical police or military organization--you may not have the same gun for very long or have much time to familiarize yourself with one. In those cases, you would either have to risk seriously trying to work the safety or hammer on a potentially unfamiliar pistol under fire if you carried condition 1. Instead, you carry condition 3 and go to 0 with a universal move (rack slide -> pull trigger)
(This is also why Glock is so popular. Essentially, you carry it condition 0...)
That's it. Israeli draw is only for "safety" based on the need for a gun, any gun, whatever gun happens to be laying around.