Can you be a Jew and not support the state of Israel? Can you reject to practice Judaism yet love the state of Israel?
Sadly, there’s a great divide among Jews regarding the state of Israel, and what makes you Jewish.
Haaretz, gives you an example of this:
There are those who are passionate about the practice of Judaism but who are deeply critical of Israeli policies. There are those who, like in the NYT article, are passionate about the practice of Judaism but are deeply critical of Israel’s political identity. There are those for whom the practice of Judaism is anathema but who may be passionate, secular Zionists. And there are Jews who identify as Jewish by heritage but are neither practicing Jews nor Zionists.
Have a read to this enlightening article.