There aren't really many Christians in Israel, only about 2% of the population is Christian (almost 80% of these Christians are actually Arabs who happen to be Israeli citizens) and many of the Churches composed of mostly Israeli Jewish converts are, sadly, more into the whole dispensational and kind of Pentecostal movement from what I have been told by friends/family. Christians also actually face a lot of hard realities in Israeli territories, and there are quite a few examples of Churches being vandalized and stuff.
I know there are very few doctrinally strong Churches in places like Jerusalem and to some extent Tel Aviv and many of these actually have both ethnically Jewish and Arab believers worshipping together. Most people who consider themselves Christians in the region are either Maronite or Eastern Orthodox (most of them, again, being Arab), there aren't many Reformed Churches that I am aware of. From what I've seen most Jews who end up coming to Christ and also joining a doctrinally strong Church are people who live outside Israel (Usually in places like the US and Europe), and the same can be said about Arabs who mostly become Reformed (or just 'overall protestant' to put it some way as is more common) while living in the diaspora (My dad for example was raised Orthodox since he came from a long line of Orthodox Christians in Bethlehem but ended up becoming protestant here).
I know there are a few people who do evangelism in Israel though, someone already sent a link to One for Israel ministries who are mostly Jewish converts to Christianity who go out sharing the gospel, they are dispensationalists and are very vocal about it but they still have brought many Jews to recognize Christ as the Messiah. The State of Israel is very unfriendly towards missionaries however, so many non-Israeli citizens who go out and try to preach the gospel face the threat of being deported. I know there are a decent amount of people in Bethlehem and other cities both in Palestine and in Israeli territories that try to go to cities or into settlements (They usually are less welcome in the settlements) and preach to Jews, and from what I've understand many of them have been relatively successful despite everything seemingly being against them.