i didn't do it myself but a nice polish family we met in Egypt managed! i think he is not active on the forum and therefore i asked him for the info in an email. here it is:

Our route was easy :
from Cairo to Taba ( only border ) to Israel
Ferry Haifa ( Israel ) to Limassol ( Cyprus ) - every Thursday afternoon
Ferry Girne ( North Cyprus ) to Tasucu ( Turkey ) every day ( 12 ) and night ( 12 ) except weekends
it's 100% sure because those ships are always as in schedule whether full or empty
in Haifa You have to go to a an Agent Rosenfeld ( only agent for that ship )
Tel: +972-4-8613613 Fax: +972-4-8537002 haifa@rosenfeld.net
A. Rosenfeld Shipping Ltd., Israel
this ship stops in Limassol and then goes to Pireus in Greece
in Girne ( north Cyprus ) You just go to the port and buy tickets
We were forced by the Police to go in a convoy in Synai but it was free of charge
Now You will not believe this :
To exit Egypt in Taba : it took 30 minutes to give back the plates and do all formalities
cost around 30 Egyptian Pounds ( 26 for customs and 5 to return the plates ) And that is it !
No more costs and no need for a Fixer ! Easy.
on Israeli side you will have to remove EVERYTHING from your car/bike , they will scan all Your luggage
and take your car/bike to RTG. But all in nice atmosphere - nice girls work there :-) For us, no problem
although all together 4 hours to unpack/scan/repack our car.
They will ask You whether You left Your car/bike somewhere ( like we did in Sudan ) better say NO !
Once You are in Cyprus You have to go to Girne , there are several borders to the north ( occupied by Turkey )
site but the border is no problem ( you just need to buy the insurance for Your car/bike )
Remember to ask them for a Yellow customs paper for your car/bike - they will ask You to show it when you will be
entering the Girne port.
Cyprus is very nice also to camp near the beach especially on Turkish side - it's more wild than Greek side.


So the credits are for him. his site is in polish but he has some beautiful pictures --> krk4x4.pl

I know that this is not a solution for people going south but for people going north it i think is.

What were the costs ?

greetings from Khartoum,

Chris

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we have just crossed into Israel at this border yesterday. The Israel site took a long time as they did a check on us because we went through Sudan but it is not a problem just wait. They are friendly and very helpfull and efficient.

Get insurance for the bike before going into Israel they charge nearly 50USD PER DAY FOR INSURANCE.

Once in camp at the coast on the beach

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So why not stay on the ship to Pireus? Any problem with that?
And how much does it cost?