Can Jews in Israel marry a non Jew?

Unfortunately no, because the government of Israel is an orthodox religion based government, strict marriage laws apply. Therefore, to marry a non-Jew one must leave the country, get married, then return.

In Israel one need to get marriage according to one's religion, It is one of the things that helps Israel to maintain it's status as a Jewish country. In order to have any type of mix marriage, the couples need to get marriage outside of the country, and when they return to the country, they get recognition from the government as a marriage couple, with all of it's legal status.

The above issues misconstrue the compromises made to form the State of Israel with the intentions and idea of the Israeli Government. When Israel was being formed, Ben Gurion and the majority of Jewish Pioneers were secular and wanted to create a government based on Western Laws and Traditions. However, there was a small Orthodox contingent that wanted to make Israel a State according to Jewish Law and Tradition. To prevent the Orthodox from seceding from the new government, Ben Gurion made a compromise to entrust life-rituals such as birth ceremonies, death ceremonies, and marriages to the Orthodox Rabbinate for control and ministry. This allowed the nation to function as a whole. However, since the Orthodox Rabbinate does not condone inter-religious marriage, such a thing is forbidden in Israel, even for non-Jewish inter-religious marriage (i.e. a Muslim marrying a Christian). Each religion is given control of its respective life ceremonies in order to avoid Jewish religious hegemony. In order to get around this, the secular Israeli Knesset and Supreme Court has passed laws recognizing any foreign marriages as legally binding, including inter-religious marriages and same-sex marriages (which are also banned by the religious courts). Many Israelis go to Cyprus or Spain to get married and then return to Israel afterwards.