That is a bit of twisted logic my friend. Jesus never mentioned what he taught as Christianity, either. Nor did he call himself nor his followers, Christians. Matter of fact, it was his enemies who labelled them that. Just like it was his enemies who created the cross as a symbol of capital punishment, yet Christians world wide wear it around the necks. That is akin to Jews wearing swatikas, and family of deatrow victims wearing electric chairs.
And for you to say he never mentioned Allah or Muhammad is arguable. Jesus never knew the word God if we take the etymological, historical context of his life. God is a greek word. Jesus more than likely spoke Aramaic or Ancient Hebrew. If you go to the Middle East now, Christians call God, Allah, because that is the language they speak and spoke in that region. Aramaic, Arabic, and Hebrew are very similar and were widely used in that region.
In the Ancient Akaddian Language, the word Allah exists. Hebrew, Aramaic, and Arabic can all be found rooted in this language and others.
Interesting side note. Jesus according to the Bible, always greeted his disciples with the phrase Peace be unto you. So this probably meant given the language of his day, he probably said Shalom Alechum or As-salaam-Alaikum.
Food for thought