I gotta say that I find the rabid anti-monarchal take a lot of americans have online kinda weird. I wouldn't say I feel "ruled" in any real sense by the British crown even though it is technically true. The Prime Minister and the House of Commons are where the actual legislative power rests and as much as the Governor-General is technically the commander in chief I highly doubt if she called for a revolution against the civilian government that would get any traction.
Furthermore I gotta say that given a lot of the other options I LIKE the hoky kind of odd but deeply rooted ceremony that surrounds our governmental proceedings.
Is it silly that the prime minister has to be presented to the Governor-General to get invested and leads a Privy Council (and for that matter is called a Prime Minister)? Yeah, but it's been WORKING that way for a long time and that inertia is important, especially I think nowadays with a lot of uncertainty from the largest democracy in the world.