Nope. The US military and its bases fall under federal jurisdiction, so state laws aren't followed. This is a normal procedure since the federal law always supersede state and local ones. Look up the Little Rock Nine. Arkansas tried to continue the segregation of schools, but the federal government used the military to dismantle that system.US is inching closer and closer to some sort of civil strife or civil war lol.
As for the idea of these social divisions leading to a civil war, these social divisions have already been there for a very long time. They are just becoming more obvious due to the economic downturn. In democracies, politicians use stupid topics such as abortion's legality to keep their power, especially when their economies go down the gutter, and have no idea on how to deal with their country's economic collapse. In short, the falling economy is currently exacerbating these social issues. However these social issue won't be the main cause of a hypothetical civil war.
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