Muslims don’t believe God appeared in the burning bush, and I didn’t think Catholics did either because it would contradict the doctrine of Divine simplicity. Eastern Orthodox may believe that due to their theory of theophanies. But the Bible is clarifies that it was an Angel (Exodus 3:2).
This is from the Quran- Sahih International
Al-A’raf -143 "And when Moses arrived at Our appointed time and his Lord spoke to him, he said, “My Lord, show me [Yourself] that I may look at You.” [ Allah ] said, “You will not see Me, but look at the mountain; if it should remain in place, then you will see Me.” But when his Lord appeared to the mountain, He rendered it level, and Moses fell unconscious. And when he awoke, he said, “Exalted are You! I have repented to You, and I am the first of the believers.”
Al Qasas 29 "And when Moses had completed the term and was traveling with his family, he perceived from the direction of the mount a fire. He said to his family, “Stay here; indeed, I have perceived a fire. Perhaps I will bring you from there [some] information or burning wood from the fire that you may warm yourselves.”
Al Qasas 30 "But when he came to it, he was called from the right side of the valley in a blessed spot - from the tree, “O Moses, indeed I am Allah, Lord of the worlds.”
AN-Naml 7 "[Mention] when Moses said to his family, “Indeed, I have perceived a fire. I will bring you from there information or will bring you a burning torch that you may warm yourselves.”
AN-Naml 8 "But when he came to it, he was called, “Blessed is whoever is at the fire and whoever is around it. And exalted is Allah, Lord of the worlds.”
AN-Naml 9 “O Moses, indeed it is I - Allah, the Exalted in Might, the Wise.”
I cited all these verses from the Quran from Sahih International. It clearly states that God appeared in the mountain and in the tree with fire surrounding. It also states that it was God appearing and not an Angel.
Hasn’t the nature of man been corrupted due to original sin, according to Catholic doctrine? Are you not attributing to God, that which is detestable and damnable, by asserting He added to Himself the nature of man? It doesn’t seem very consistent to me, making Mary and Jesus the exceptions to this corruption.
In the Quran itself it mentions that Jesus and Mary were not touched by Satan. Therefore, they were both without sin. Therefore Jesus’ nature of man does not fall under the corruptible standard nature. This shows that he was special and divine.