Lebanon will not let you in if you have any religious article no matter what passport you have.
If you are british (Or any other westerner) and want to go and have signs in your passport of visiting Israel you need to get another passport (The US and I am sure the UK allow you to get a second passport for this purpose)
The United Arab Emeriates (Dubai) is the only country that does not allow Israelis to enter , but allows anyone else to enter. if you are an Israeli who was not born in Israel and have another passport (Like US or EU) then you can go even if you have Israel stamped in your passport and you can bring jewish religious items there