Muslims and Christians share more than is often realised: belief in one Creator, reverence for the prophets, and deep love for Jesus and his mother Mary. An entire chapter of the Qur'an is named after Mary, and it tells of the miraculous birth of Jesus with tenderness and awe (Qur'an 19:16-36).
The invitation of Islam is simple and clear: worship God directly, without partner, image or intermediary (Qur'an 112:1-4). The Qur'an calls to the common word between us — that we worship none but the One God (Qur'an 3:64) — and asks us to honour Jesus as a noble messenger without raising him to divinity (Qur'an 4:171). This is not a rejection of Jesus, but a return to what he taught.