That picture is of members of an extreme sect of ultra orthodox Jews, the Neturai Karta. There are many sects withing ultra orthodoxy and they are the most extreme. You can see the NK at the bottom of their placard. They are very, very fringe within Judaism. In essence, they believe that until the Messiah comes there should not be a Jewish state, that there should be no self determination by Jews and that Jews should accept whatever is meted out to them. Most of them live in Jerusalem.
To most other Jews, Zionism of some form is fundamental to Judaism, you can't take Israel out of it. They may disagree with the modern government but the concept of the original Jewish homeland runs deep. The connection to the land runs deep.
The most right wing elements of Zionism believe that as long as Muslims exist within Israel they will always be under attack, that Muslims see it as a religious duty to kill Jews and that for this reason there can be no coexistence. Remember that there were massacres of Jews in Israel long before the state of Israel was founded in 1948. Look up the Hebron massacre of 1929 for instance.
Following the Romans expelling Jews from Israel, Jews have been kicked out of country after country.
Back in the 1930's and 40's it was "Jews, get out of Europe"
1948 "Hey, sorry we killed y'all, here, have Israel, go and have your country back and be safe"
Following which Jews from Middle Eastern countries were evicted from their homes and sent as refugees to Israel.
And since then it's "Jews, get out of Israel"
There is nowhere left to go.