If Obama the poser POTUS were to invoke Martial Law he would meet stiff State wide reistance..!

Under Article 10 of the Constitution..
Now, if you are a governor, and President Obama imposes martial law and orders you as governor of your state to enforce such an order, you are obligated by law to disobey that order, because it would be an unlawful order. Government officials recite an oath as they take their office, as do police and military personnel. Part of the oath for governor of a state – and local police officers for that matter – includes "support" of the U.S. Constitution and respective state constitutions. In some cases, the oath states that they will "obey and defend" the Constitution.
Some police officers’ oaths state that they will "obey the orders of superior officers" on the force. And the oath for enlistment in the U.S. Armed Forces does include mention of obeying the orders of the President of the United States. However, when a superior officer or president gives an unlawful order, such as one that violates an individual’s right to due process or right to free speech or dissent, then the soldier or officer is obligated to disobey that order.
Stewart Rhodes, founder of Oath Keepers, explains here in this video why such unlawful orders must be disobeyed. The Oath Keepers organization notes that

Oath Keepers is a non-partisan association of currently serving military, reserves, National Guard, peace officers, fire-fighters, and veterans who swore an oath to support and defend the Constitution against all enemies, foreign and domestic … and meant it. We won’t "just follow orders."

The Oath Keepers organization views the soldier, military officer or police officer’s primary obligation of service as being to the people, not the president, and that their loyalty is to the Constitution, including the Bill of Rights. If the President of the United States orders governors, National Guardsmen, military soldiers, police officers, to enforce federal martial law, the purpose of which is to remove civil liberties and rights guaranteed by the Bill of Rights, then such an order, therefore, is an unlawful order, and government personnel are obligated to disobey such orders.
Here is the Oath Keepers’ list of orders they would not obey, particularly because, as the Oath Keepers themselves note, such orders are "unconstitutional (and thus unlawful) and immoral violations of the natural rights of the people. Such orders would be acts of war against the American people by their own government, and thus acts of treason. We will not make war against our own people. We will not commit treason."