Generally speaking the War Powers Resolution of 1973 negatively affected the power of the US president by making it so that the President could not commit troops beyond a certain point without Congressional approval.
The last time the rivalry determined a Big Ten Conference champion was in 1962 when #3 Wisconsin defeated #5 Minnesota for a berth to the 1963 Rose Bowl. Wisconsin won 14 straight meetings against Minnesota, from 2004 to 2017, before the Gophers beat the Badgers in their 2018 matchup.
The president during 1812 was James Madison, his presidential term was 1809 to 1817.