Muslims

ʿĪsá — the prophet, messenger and messiah Jesus

عِيسَى
proper noun
ALA-LC ʿīsá
IPA ˈʕiisææ

ʿĪsá (Jesus) is a central prophet and messenger in Islam.

Even in the Bible, ʿĪsá prays to God like a Muslim:

Going a little farther, [Jesus] fell with his face to the ground and prayed, “My Father, if it is possible, may this cup be taken from me. Yet not as I will, but as you will.” (The Bible, Matthew 26:39)

3:35–48, 19:16–34, 3:48–55, 2:116

Jesus said, “Indeed, I am a humble servant of God. He has given me the Scripture and made me a prophet. And He has made me blessed wherever I am. God has commanded me to pray, to give alms as long as I live, and to cherish my mother. He did not make me domineering or graceless. And peace is on me the day I was born, the day I will die, and the day I am raised alive.” (Qurʾān 19:30-33)

Islam is unbroken chain:

"And behold! I inspired the disciples to have faith in Me and Mine Messenger [Jesus]: they said, 'We have faith, and do thou bear witness that we bow to Allah as Muslims'". (5:111)

Muḥammad ﷺ was renewer of ancient tradition. Not introducing new religion.

http://corpus.quran.com/search.jsp?q=con%3Amessiah