Promoting comments to an answer...
Looking at the ever useful Seat61 page for Israel, there are three typical routes. One is via Turkey, Syria and Jordan. My understanding of the current situation in Syria is that this one is out. Next up is a direct ferry from Greece, but that isn't running currently. Finally there are suggestions that you can get a ferry from Cyprus on to Israel, I'd suggest you try looking into that.
If you wanted to get to Jordan avoiding Syria, then you'd have to go through Iraq, which isn't any better! I think you'll have to consign yourself to not overlanding it via Turkey any time soon. Ferry in is your best bet.
One other possible option is via Egypt. Friends in Egypt tell me that the situation in the country is much better now, however relations between Egypt and Israel aren't great (to say the least...). That'd likely mean taking the ferry from Venice to Alexandria and then onwards by land to the border (and hope it's open). Snag is, that ferry is reported to have issues at the moment too, as it normally stops in Syria on the way
Looks like your only bet is the Cyprus ferry, assuming their website is telling the truth about it running a the moment...