1. As grace2U correctly wrote, there are some Amils who believe there will be a time when a large number of Jews will be converted near the time when Christ returns. [I am not one of them]

... although it certainly could happen if that is what God has ordained.
2. Again, I stand with grace2U re: "There is no special exalted position for believing Jews...". In fact, I would go further and say that there is no special position, place nor anything else concerning Jews nor Israel as a nation. The nation of Israel was formed by God for a purpose, the most important being a lineage of God's people that would terminate with the Messiah, Christ Jesus. The physical benefits which God had promised Israel, e.g., the giving of the "land" were all fulfilled (cf. Josh 21:43-45), and which would continue depending upon continued faithfulness (faith & obedience) to God. Sadly, after repetitive warnings and eventual punishments which brought a partial repentance and restoration on the part of the nation as a whole, it was abandoned by God and left to its apostasy into idolatry [cf. Hos 1:9].
3. There are at least a couple of articles which we have on The Highway that deal with this topic; the future restoration of Israel. They can be found in the Eschatology section of Calvinism and the Reformed Faith.
4. The passage your pastor referenced
may have been Rom 11:25&26, which is one of the most quoted by Premils and Dispies:
Romans 11:25-26 (ASV) For I would not, brethren, have you ignorant of this mystery, lest ye be wise in your own conceits, that a hardening in part hath befallen Israel, until the fulness of the Gentiles be come in; and so all Israel shall be saved: even as it is written, There shall come out of Zion the Deliverer; He shall turn away ungodliness from Jacob:
Regardless whether this was the passage referenced, Lee Irons deals with the premise that there will be an outpouring of God's grace upon the Jews and they will be converted en masse in the 'last day', based upon what Paul wrote in Romans 11, which you can read here:
Paul’s Theology of Israel’s Future: A Nonmillennial Interpretation of Romans 11.