There are the Messianic Jews, the Chosen People Ministries, who want to make a distinction between the future of Israel and the Church:
Chosen People Ministries: "There are some who say that while it is true that God will restore the Jewish people to the Land, it is possible that there may be a number of "non-prophetic" re-gatherings preceding the prophetic re-gathering."
Read More: http://www.chosenpeople.com/
Is modern Israel a fulfillment of prophecy?
My response: There is a prophecy on Israel's return. But that Israel is and will be in the Church. Theirs is that which is in Rom 9:4, that of the firstborns. There is no need to use replacement theology for or against the separation of Israel and Church. There are many Jews in churches now, not just in the Messianic congregations. Christ has only one bride, viz. the Church. So let nothing be held against your brothers who were once not of the law, come celebrate and enjoy the feast together in the House of our Father, AT ALL TIMES.
Therefore, as to the definition of the term: Supersessionism, I am against it, if it means there's no Jewish identity. As much as I am against saying the Jewish identity is distinct from the Church. I would not say also, that the Church is the inheritance of the Jewish culture. It is rather better to say, the Jewish history revealed the foundation of the Church, that is Christ Jesus.