It's a pity you won't go down the corridor to immigration, since you'll miss this:

http://www.archaeology.org.il/newsticker.asp?id=23

I think it's one of the most striking contrasts in the new (since late 2004) TLV airport -- stunning modern architecture and ancient artefacts! Well worth pausing to enjoy it, if you do enter Israel rather than just the transit hall on another occasion...