Do we want separate tags for ancient (biblical) Israel and modern Israel?
It would seem to me that people are fairly likely to be interested in questions about one but not the other.
I don't see the point in having two different Israel tags here.
If we did that we would probably need a whole series of tags determining the meaning of Israel in context (Israel the people, Israel the state, Israel of the NT, Israel ancient, Israel modern etc etc etc).
Context should dictate pretty clearly which Israel you are talking about.