I think this is natral since Jesus peace be upon him called to worship the one true God just as Mohammad salla Allah alaihi wa sallam did.
3:79 It is not (possible) that a man, to whom is given the Book, and Wisdom, and the prophetic office, should say to people: "Be ye my worshippers rather than Allah's": on the contrary (He would say) "Be ye worshippers of Him Who is truly the Cherisher of all: For ye have taught the Book and ye have studied it earnestly."
Quran
turning to islam is simply turning to the message of Jesus peace be upon him in it`s original form.
with regards