If this really is a genuine matzo-ball-soup emergency — and I sense from your tone that it is — I have some bad news for you. I’ve lived here more than seven years, and I’ve yet to find a local restaurant that makes matzo ball soup.
I can tell you that in my experience, most Jewish people who wear a chai, a Star of David, or both (some folks alternate between the two) see them as identifiers that tell the world: “I am Jewish” (and, presumably, “I am proud of being Jewish”).
It is possible to find sources from a Muslim perspective that claim the Torah makes reference to Muhammad. However, after an admittedly brief bit of online research, I found it difficult to locate a highly reputable source — e.g., an article by a recognized scholar published in a respected, peer-reviewed journal — asserting this idea.
Victims of trauma, or members of a people group that was traumatized, don’t owe the perpetrators anything in particular. What they must do, as individuals and/or as a community, is decide what the best way is to move forward to meet their own needs.
I imagine that if you surveyed 100 or 1,000 Israelis, you might get a similar response: that Israel is technically secular but often seems nonsecular, and yet a significant portion of its population considers pluralism and separation of religion and state very important.