You wrote "You can try to cast out demons in the name of Jesus of Nazareth; but if you are not talking about Jesus Christ of Nazareth, nothing is going to happen.". Do you in fact realize the redundancy in this meaningless statement?
For example, Mark 1:1 reads, ":The beginning of the good news of Jesus Christ." So was Mark referring to somebody else?
How about John 1:17, "The law indeed was given through Moses; grace and truth came through Jesus Christ." and John 17:3, "And this is eternal life, that they may know you, the only true God, and Jesus Christ, whom you have sent." So was John referring to somebody else?
And in Acts 2:38, Peter said, "Peter said to them, “Repent and be baptized every one of you in the name of Jesus Christ so that your sins may be forgiven, and you will receive the gift of the Holy Spirit." and Acts 9:34, "“Aeneas, Jesus Christ heals you; get up and make your bed!” And immediately he got up." was Peter referring to somebody else?
And in Acts 16:18, Paul said, "She kept doing this for many days. But Paul, very much annoyed, turned and said to the spirit, “I order you in the name of Jesus Christ to come out of her.” And it came out that very hour." And in Romans 1:1, "Paul, a servant of Christ Jesus, called to be an apostle, set apart for the gospel of God,Was Paul referring to someone else?
I could keep going on and on but there is no point. If Mark, John, Peter, Paul and others don't say the complete phrase "Jesus Christ of Nazareth", then none of us need to either. It is obvious in context.