What race someone is literally depends on what people think. There's no scientific way to establish the race of someone. A popular example is that Italians and Irish were not considered white.

Idk how you can't follow my argument, it's clearly about the fact that it's not definitive whether Jews are a race or not. It is definitive that they are an ethnic group because you can establish that via culture and heritage and language and obviously, religion.

I think Indians and Taiwanese look very different and don't have a similar origin, but people would say they're both "Asians" by race.

Because I would consider jews a ethnic group since you can be Jewish and have no religious ties and ethnoreligious implies religious ties. So really you need to say secular jews or religious jews. Wikipedia obviously just groups it all together