This video makes the case that Muhammad was more like Moses, a mere man, than Jesus, the Son of God. That much is true, so how can he claim to be greater than Jesus?

Jesus clearly disagrees with this video. Jesus said He, himself, was the one Moses was talking about and the only prophets he predicted to come after him were false prophets, as I have shown elsewhere in this thread. Here are His exact "red letter" words:

John 5:39 You study the Scriptures diligently because you think that in them you have eternal life. These are the very Scriptures that testify about me, yet you refuse to come to me to have life. ...46 "If you believed Moses, you would believe me, for he wrote about me. But since you do not believe what he wrote, how are you going to believe what I say?"

Matthew 7:15 "Watch out for false prophets. They come to you in sheep's clothing, but inwardly they are ferocious wolves. By their fruit you will recognize them. Do people pick grapes from thornbushes, or figs from thistles? Likewise, every good tree bears good fruit, but a bad tree bears bad fruit. A good tree cannot bear bad fruit, and a bad tree cannot bear good fruit. Every tree that does not bear good fruit is cut down and thrown into the fire. Thus, by their fruit you will recognize them.

Muhammad's fruits were very different than those of Jesus.

Nowhere does Jesus indicate that there will be any more true prophets before He returns. This is because we have something better during this age, the "Spirit of Truth" which lives inside us. The Spirit of Truth is clearly not a reference to Muhammed, because Muhammed cannot live inside us forever. This video admits that Muhammed died like any other ordinary man.

And I will ask the Father, and he will give you another advocate to help you and be with you forever— the Spirit of truth. The world cannot accept him, because it neither sees him nor knows him. But you know him, for he lives with you and will be in you. I will not leave you as orphans; I will come to you. John 14:16.

This Spirit is clearly identified above as the Spirit of Jesus since He says "I will come to you." More evidence that the Father, Son, and Holy Spirit are One.

The entire book of Hebrews points out how Jesus is superior to even the angels. There is simply no need for another prophet now that Jesus has come and left his Spirit with us forever:

In the past God spoke to our ancestors through the prophets at many times and in various ways, but in these last days he has spoken to us by his Son, whom he appointed heir of all things, and through whom also he made the universe. The Son is the radiance of God's glory and the exact representation of his being, sustaining all things by his powerful word. After he had provided purification for sins, he sat down at the right hand of the Majesty in heaven. So he became as much superior to the angels as the name he has inherited is superior to theirs. - Hebrews 1:1-4

One characteristic of true prophets is that they never contradict a prior prophet. This is another thing that lets us correctly understand what type of prophet Muhammad was.