then deliberately refuse to go with the verdict of my other peers to initiate a hung jury because I disagree with the fairness of the law that was broken - Is that Illegal?
No it not illegal, but the judge would then just except a majority verdict. If you convince a majority of the other jurors of your position, that the defendant is guilty but the law is unfair, you can return a verdict of "not guilty" and the defendant is acquitted, this is called jury nullification. This is an important principle in English law and still occurs occasionally.