That makes some sense. I'd also say that I'm no more a fan of a Jewish state than I am of an Islamic state.
I'm not a fan of religion - by extension, I'm not a fan of religious states.
I'm not a fan of religion either. However, as much as this concept is totally alien to North Americans, being a Jew is just as much about ethnicity/race/origin as it is about religion. Many Jews are atheists/agnostics or otherwise irreligious, but nevertheless identify as Jews as well. In countries that have had a historical Jewish population, such as in Eastern Europe, the racial difference between Jews and non-Jews (i.e. Slavs) is as visually obvious to the people of that country as the difference between black and white is obvious to Americans. I am an atheist of Jewish origin, and have personally encountered people in Canada who have visually identified me as a Jew and harassed/insulted me for being Jewish, on two separate occasions.
Further, the entire point of Israel is to be a homeland and safe haven for the Jewish people. In this context, Jewish can mean those that self-identify as Jews or, also, those that might be discriminated against by others for being Jewish. Hence, to exercise the right of return to Israel, an individual need only fit the Nuremberg Laws definition of being a Jew (a single Jewish grandparent). While some might point to the modern world of 2017 and say antisemitism is not prevalent as it once was and so Jews do not need a homeland to be safe, I would point to rising antisemitism both from Muslim countries and populations and some of their enablers on the left as well as from resurgent far-right movements in Western countries. Over 2000 years of history has shown that when Jews live as minority groups in the countries of other peoples, they face hatred, discrimination, and massacres every few generations.
The State of Israel is fundamentally required for the safety of any person in the world who might be identified as Jewish and targeted for their Jewishness. Almost every other identifiable racial/ethnic group has a homeland where they form the majority of the population and will not face hatred or violence for what they are, and it is wrong to deny Jews that same safety net.
Furthermore, it is erroneous to characterize Israel as a "religious state". While Israel has an official state religion, the society shares far more characteristics with the secular democracies of Europe than it does with the theocratic monarchies/dictatorships that one thinks of when using the term "religious state".
In an ideal world where all people live together in peace and harmony, the idea of countries based on ethnic, racial, or religious groupings sounds as repulsive to me as it does to you. But in this world that we live in, having faced over 2000 years of hatred and extermination culminating in the Holocaust, a sovereign Jewish-majority state is an absolute non-negotiable necessity for the Jewish people.
As a side-note to the above, I also support sovereign states for all other groups that have faced historical discrimination and form a majority population in a certain area. In particular, based on my knowledge of world events, I would say it is past time for a sovereign Kurdish state to be established... the Kurds have faced hatred and attempts at genocide in all the countries in which they have significant populations for centuries.