Question

Why did the War Hawks push for the invasion of British-held Canada?

Answer 1

The War Hawks pushed for invading the then British-held Canada to deprive the Indians of their main source of arms. The War Hawks also insisted that by doing so, it would also get the British to leave North America.

Hope my answer has helped you. 

Answer 2

The answer you're looking for is A, To deprive the indians of their main source of arms.