If you were Hamlet, would you pretend to be mad in order to take revenge?

In Hamlet, the title character should not have acted mad in order to take revenge when he learns of his father's murder. Hamlet's actions to take revenge on the new king, his uncle, while justified ends with the death of everyone who matters to the prince—his mother, Ophelia, Polonius, Rosencrantz and Guilderstern. 

Hamlet's friends see danger in his increasing madness throughout the play. In Act I, Horatio warns Hamlet that listening to his father's...

In Hamlet, the title character should not have acted mad in order to take revenge when he learns of his father's murder. Hamlet's actions to take revenge on the new king, his uncle, while justified ends with the death of everyone who matters to the prince—his mother, Ophelia, Polonius, Rosencrantz and Guilderstern. 

Hamlet's friends see danger in his increasing madness throughout the play. In Act I, Horatio warns Hamlet that listening to his father's ghost might "deprive your sovereignty of reason / And draw you into madness?" It does. When Hamlet pretends to be mad when he speaks to Ophelia in Act II Scene I ("My lord, as I was sewing in my closet, Lord Hamlet...), he sets in motion suspicion from all, including Polonius, King Claudius and Hamlet's mother. In addition, this action puts Ophelia, a woman Hamlet may have loved, on edge, which eventually leads to her suicide. In addition, King Claudius uses Hamet's "madness" to turn the prince's former friends Rosencrantz and Gilderstern against him. 

No, if I was Prince Hamlet, I would not pretend madness. Hamlet's idea to stage a play in which a king is murdered much in the same way his father was murdered is a sane action and it works. In the scene after King Claudius watches the play, he admits his guilt while praying. With this knowledge of the king's guilt, Hamlet could have fled and seeked help from other nobility loyal to his father. While this might lead to a civil war in an already war-ravaged kingdom, it would have been honorable and would, perhaps, have made Hamlet a better man and then a noble king.