The turkey to egypt though israel and back problem

[ryanclark11]

HI everyone
I have read many of the ways people have traveled in this area but still do not quite full understand how to get around this. As part of our trip to NZ from London we would like to sidetrack down to Egypt so we need to go from turkey down to egypt and back to turkey, if it was possible passing through Syria, Jordan and Israel on the way.

Now i have tried to find ferries that run form Israel to turkey but they dont seem to exist unless anyone else knows otherwise.

What i was wondering is if we could go
Syria - Jordan - Egypt - Israel (stamps on seperate paper) - Back into Jordan - back into Syria and then turkey or would the Syrians still realise we had been in israel.

So Is their any way around this? is there an easier way.

Once again thank for your time and thoughts