Not speaking for Rubio Republican, but I'm sure he'd agree with me: I would most definitely care if this happened to anyone of any other nationality or ethnicity as well.
Absolutely. I would think it was wrong. It seems like the height of paranoia. It does depend somewhat on the status of relations with the country, of course - an ally nation deserves less scrutiny - but in general, someone being an immigrant with family abroad should not disqualify someone from a military position.
But let's be real, incidents like this affecting Jewish people would get no airtime here unless Jewish people called attention to them. Jews are allowed to focus on anti-semitism much like any group is allowed to focus on incidents targeting them.
Most American Jews have never lived in Israel and do not have close family in Israel. This isn't an issue that would come up for most American Jews.
Stop making this into a Jewish/anti-Semitic issue when it's essentially an Israeli issue and by extension an "Americans with close foreign ties" issue.
We have one running for president who did. Does this make him unqualified? Also keep in mind that he has another close relative literally holding elected office in another country.