It might be worth getting a PhD first in the US and then migrating to Canada!
PhD is not enough according to Wikipedia:
The EB-1 is a preference category for United States employment-based permanent residency. It is intended for "priority workers". Those are foreign nationals who either have "extraordinary abilities", or are "outstanding professors or researchers", and also includes "some executives and managers of foreign companies who are transferred to the US".[1] It allows them to remain permanently in the US.
> outstanding professors or researchers
Works if you have published papers referenced by 10 people. I don't have a PhD but I know a couple of people, one really close friend who did this. In most of the cases PhDs do end up with published papers that get referenced by others. It took couple of years for him for the whole process as an Indian.