Trudeau doesn't have much choice, the Canadian economy basically doesn't exist without US trade. No Canada isn't going to join the EU or anything like that, most of the Canadian economy is less than 100 miles from the border. The stuff that is further away like the tar sands is also deeply integrated with the US. NAFTA has basically turned Canada into a US state economically.
Note that the Berniecrats have long lobbied for better trade deals that emphasize protections for US workers...it will be hard for left Democrats to oppose Trump with a free-trade agenda. Mostly the Berniecrats have been silent because Trump is the first President in thirty years to rethink free trade.
Canada should be looking further south for criticism...it is Mexico where jobs like auto manufacturing will end up...Canada cannot compete with Mexico. When NAFTA was written, Mexico was not yet a realistic manufacturing center so Canada had little to worry about