No, I do not believe that Muslims adore Jesus as a God.
Myself, I'm not really big on trying to figure out if Muslims are worshiping the same God as Christians or not. If I have to give an opinion, then yes, I think they do.
If someone says that since Jesus is God, if Muslims don't worship Jesus, then they don't worship the same God. But I think this brings up the philosophical question of when something can be said to be the same or when it is different. and it's because of that philosophical question that I wouldn't go around saying that Muslims worship the same God or a different god.
At the same time, neither would I say that someone who says that Muslims worship the same God as Christians can't be a Christian. If I remember right, one of the reasons you said that Catholics weren't Christians is because of this issue about Muslims worshiping the same God.
You may be interested in this
"My take is that as long as a person understands the basic metaphysical truth that God is “the one, merciful God,” then errors concerning what God has said, or what he has revealed about his inner life are simply errors about those things, not about God as the one, true God"
https://www.catholic.com/magazine/online-edition/do-muslims-worship-the-same-god-catholics-do