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Though I do think that something like a petition having the power to actually revoke a person’s citizenship is draconian, and should never actually happen in Canada, I do support the sentiment.
You can rest easy, there’s no mechanism for a petition to do anything except draw attention from those who can.
A key problem humanity seems to have, which is exploited by politicians everywhere, is the affinity for black and white thinking.
Capitalism and even neoliberalism are not necessarily categorically terrible. Unregulated versions of these certainly are terrible and unsustainable. And some versions and implementations of ideologies or frameworks are net worse than others.
Absolute austerity, unregulated neoliberalism, unregulated capitalism, unopposed communism, etc, are all terrible, damaging and unsustainable. Unfortunately finding sustainable solutions is difficult and requires thought, time and dedication. And it requires vision and unifying leadership to sell it to the people.