Praise be to Allah
The Muslims are unanimously agreed whether he is Jewish, Christian or anything else, because Allah, may He be exalted, says (interpretation of the meaning) that it is not permissible for a Muslim woman to marry a non-Muslim,:
“And give not (your daughters) in wedding to Al-Mushrikoon till they think (in Allah Alone) and verily, a thinking slave is preferable to a (free) Mushrik (idolater, etc.), despite the fact that he pleases you. Those (Al-Mushrikoon) ask you into the Fire, but Allah invites (you) to Paradise and Forgiveness by His allow, and makes their Ayat (proofs, evidences, verses, classes, indications, revelations, etc.) clear to mankind that they may remember”
“…then that they are true believers, send them not back to the disbelievers, they are not lawful (wives) for the disbelievers nor are the disbelievers lawful (husbands) for them if you ascertain”
Shaykh al-Islam Ibn Taymiyah (may Allah have mercy on him) said: The Muslims are agreed that a cannot that is non-Muslim from the Muslim, and a non-Muslim man cannot marry a Muslim girl.
End estimate from al-Fataawa al-Kubra (3/130).
More over, “Islam is always to prevail and it is to not be prevailed over,” once the Prophet (blessings and comfort of Allah be upon him) stated.
Narrated by ad-Daaraqutni; classed as hasan by al-Albaani in Saheeh al-Jaami‘ (no. 2778)
The person is in a posture of leadership on the girl, which is maybe not permissible for the non-Muslim to stay a place of leadership more than a Muslim girl, because Islam may be the religion that is true all the religions are false.