You learned correctly.
OTOH, the mohammedan understanding of "the one deity who created all that is" is so radically different from the Christian understanding of that entity as to be effectively a different being.
When Christian Arabs say "Allah", they're referring to "The Father and The Son and The Holy Spirit" ... a Being whom the mohammedans reject utterly.
When mohammedans say "allah", they're referring to the vindictive, capricious, demonic entity that was gibbering in mohammed's ear ... a being whom Christians pray God will rebuke.
Isn’t it written in the koran itself that the ‘angels’ took him to heaven and when he at first refused to write the script they squeezed him until he agreed?
and apparently out came a hot steaming pile of koran