I think that what they actually have is probably access to the same systems (i.e. PRISM, Xkeyscore, etc.) as the NSA, with the same level of access.
If you think that israel doesnt have access to NSA systems because they are on a "secure" network, then you're not really paying attention.
You aren't the first person I've seen make this erroneous assertion. Snowden worked at an NSA site, the Hawaii Regional Operations Security Center at Naval and Telecommunications Area Master Station Pacific. http://www.navy.mil/submit/display.asp?story_id=31660
Furthermore, Snowden was only "outsourced" in the sense that the division of Booz Allen that employed him is essentially an employment agency for the DoD. They aren't significantly different from the bodyshops that proliferate in the tech industry. Other parts of Booz Allen (which are now practically an entirely separate company) do operate like mini spy agencies of their own, but that is not who Snowden worked for or reported to.
Also, while it is partly hyperbolic to think that Israel has direct access to NSA systems, they have 1) far less scruples than even our NSA (they send assassins into hotels to take out enemies in foreign countries in broad daylight) 2) they've been directly building cyber weapons WITH the NSA 3) they are being directly handed raw intelligence BY the NSA.
For me - the most worrysome piece is that if you look at this revelation - whereby Israel is "politely asked" to respect the privacy of USG officials, who is to say they cannot use the information within this raw data to blackmail/usurp non USG assets in lobbying, defense, civilian-intelligence-contracting positions.
We basically have zero privacy, we also have zero security, as a nation, due t the actions of the NSA.
We are now in a position where it is literally every Human being against the intelligence community.
Keepin' it classy.