How would you know what the Quran condones? Have you read it? I know the answer is no, but I'm gonna ask anyway.
And, yes, you do worship the God of Abraham. Just like they do.
the functional difference is they believe God to be a singular entity, while you believe that God is a 3 part entity consisting of 3 unique identities that are also combined into one being.
You know, God the Father, The Son, and the Holy Ghost.
It is hilarious that you hate these people. You have so much in common with them. You could be hating gay people together. You could be hating trans people together. You worship the same God.
Yes, you do worship the same God.
And yet your xenophobia and bigotry stop you from making friends.