The great danger of separating Israel from the Church is Two Covenant theology espoused by John Haggee. Haggee and others teach 2 plans of salvation. One for the Jew and one for Gentiles. John Haggee takes Christian Zionism to it's logical end. Check out http://www.pfo.org/jonhagee.htm
The idea that "Replacement Theology" (which as Aaron has pointed out is a incorrect term) is antisemtic is condemning practically every Christian before the mid 1800's as antisemitic.
Interesting is that Postmill which denies Israel is still God's people does teach (and I believe correctly) that there will be a end times revival among the Jews but does not segregate them as Disp do but puts them in the Church. Amill does not teach Antisemitism either. It teaches that Jew and Gentiles alike who trust Christ are equal in Christ Jesus. Accusations that Amill, Postmill or Historic Premill are antisemtic is baseless.
The idea that "Replacement Theology" (which as Aaron has pointed out is a incorrect term) is antisemtic is condemning practically every Christian before the mid 1800's as antisemitic.