"To provide for calling forth the Militia to execute the Laws of the Union, suppress Insurrections and repeal Invasions" That limitation applies to the unorganized militia and not the organized militia because members of the organized militia take a dual oath of enlistment. That dual oath is in both the state and National Guard.
Congress has been derelict in its duties to the unorganized militia because the Constitution says "To provide for organizing, arming, and disciplining, the Militia, and for governing such Part of them as may be employed in the Service of the United States, reserving to the States respectively, the Appointment of the Officers, and the Authority of training the Militia according to the discipline prescribed by Congress;"
Although most states have a minimally organized "unorganized militia", they are mostly unarmed. As a minimum, congress should provide sufficient standard individual arms and ammunition to equip the "unorganized militia". That would be the M-16 rifle and M-9 pistol and ammunition for them.
ON EDIT ADD:
You might wish to visit the organization for the "unorganized militia" at
The State Guard Association of the United States. You can go from there to various state sites and see how they are organized and the state laws that give a governor authority over the "unorganized militia".