Not sure about the airlines, but you might get on in some specialist areas, like the ad-hoc charter world. I'm sure someone wants a pilot who will work every Sunday without complaint! The problem is that you are restricting your options in what is already a difficult career to get a start in, and charter demands different experience too. I would certainly say you should look into it in detail, and take PPRuNe enquiries as just part of your information.
Is it all day Friday you cannot work? Forgive me my atheist's ignorance, but I was aware that the Sabath included Friday evening but not that it precluded work the whole day. It could be important if you could work earlier (it adds a whole new overnight option, and in my business Friday evening and Saturday tend to be quiet anyway).
Good luck if you do choose to fly!
P.S. Do El Al have any especially considerate conditions?