Should the Play ‘Julius Caesar’ be called ‘Brutus’?

In the play ‘Julius Caesar,’ the leader of Rome is murdered, which leads to a war. The man murdered is Julius Caesar. Even though Caesar is killed half way into the play, he plays a huge roll during his time alive and is the topic of conversation after his death. His ghosts even returns later in Act4, Scene 3.
At the start of the play, all of Rome was happy with their great leader, Caesar. Rome had a holiday and all the citizens were happy. ‘We make holiday to see Caesar and to rejoice in his triumph,’ said a happy Roman on his holiday (Act1 Sci 1 L 32).
Soon later Brutus came into the play and hit center stage. He was the focus. But, all the time that he was the focus, and when he was talking to others, it was always about Caesar and what they we...