Answer 1
There is no 'church' in Judaism. Judaism is a religion so there cannot be a separation from religion in Judaism.
Answer 2
It depends on what a person means by "Judaism". If the person is talking about the religion itself and its directions and exhortations of government, then no, there is no separation between church and state.
However, all of the Jewish States or States led by Jews since the defeat of the Zealots nearly 1900 years ago (the Khazars, Birobidjan, UK under Disraeli, Modern Israel) have all had a separation between religion and state structure so that the law of the land was based on secular or universal legal principles and Judaism would be practiced at the will or disposition of the practitioner. In all four listed countries, being non-Jewish was not criminal nor would it subject a person to negative economic or social treatment.
The movement to separate church and state during the writing of the new state constitutions was most successful in Virginia. Virginia was the 10th U.S. state.
To guarantee freedom of and from religion.
Yes.
In Great Britain, there is primarily one state church: the Church of England, which is the established church in England. Additionally, the Church of Scotland is recognized as the national church in Scotland, but it is not a state church in the same sense as the Church of England. Wales does not have an established church, as the Church in Wales is a separate entity that operates independently of the state.
That the laws of the church and state should be separate. (NovaNET)
It served to separate church and state
The most prominent example today is in schools, but this is also prominent in courtrooms.
Southern state did not require school to be integrated
Theocracy. It was clearly defined by the founders of the United States that church and state would be separate entities; unlike England.
You cannot. They may have been good when they existed, as they sought to separate the church from state.
The last state directly caused by Judaism was the Hasmonean Kingdom in Israel over 2000 years ago. Jews are responsible for the creation of the Modern State of Israel, but that country's government (though Judaism flourishes there) has little to do with religious Judaism.
People should have the freedom to pick their own religion and not be forced to be what ever religion is mandated by the government.