There is nothing in the constitution that would strike down the stand your ground law. You have a right to defend yourself and a right to bear arms. If you are doing this legally then the law should be in effect. If you are in a dangerous situation retreating may only get you harmed further.
The stand your ground law is constitutional. We, as Americans, have a constitutionally protected right to bear arms in dangerous situations. When some one or some thing is threatening you or your family, you should be able to take charge of the situation and do what you feel is necessary to protect your loved ones.
Laws which protect peaceful people who use deadly force in self-defense are in agreement with both the spirit and text of the Constitution, specifically the Second Amendment, which guarantees the right to keep and bear arms, as well as the Tenth Amendment which grants those powers not expressly given to the Federal Government to the individual states and localities, which includes laws pertaining to possession and discharge of firearms.