Great - so you're recommending 3 hours and I'm recommending not. OP is then free to choose whether he/she prefers to spend more time in airport with less stress of missing flight (your words) and not rush to the airport to spend a while there unnecessarily (my words).

My mind is pretty made up, and I've got a strong track record on FT of recommending 2 hours to newbies to TLV unless they are people that may take longer at security. Those 2 hours have been enough to many people I know who were interviewed, had their bags and opened and inspected, as well as having foreign passports in the middle of the day (the longest lines). If the flight is at night (or early in the morning such as LX/LH), wait times at security and passport control are even shorter.