No Civil War battles were fought in Michigan . There was an attempt by Confederate agents to capture the USS Michigan on Lake Erie , but that was in Ohio waters.
Yeah that was similar to the raid that Confederate agents from Canada did in St. Albans, Vermont as part of what they called a fifth column for the Confederacy to have spies and agents to conduct raids behind enemy lines in the North. There even a plot to send agents to cities in the north and take money from banks. After Sherman captured Atlanta, a few Confederate spies managed to invade New York City and burned down P.T. Barnum's Museum. All but one of them got away. There's a book about it called A vast and fiendish plot