That might be a bit more convincing if it was some gigantic tome of a proposal that was only relevant to trans people in some tangental aspect.

Instead, this 1-page bill is entirely about trans people, and adding them to a long list of groups already protected from discrimination by law. It is 1 page long. It adds 4 words to passages of existing law.

Here [1] is the entire text of it, read it for yourself.

Peterson has no comparative problems with the existing law protecting discrimination for the following groups: race, national or ethnic origin, colour, religion, age, sex, sexual orientation, marital status, family status, disability.

He does, however, specifically believe that extending these same protections already offered to everyone else to trans people amounts to a threat to society.

[1] https://laws-lois.justice.gc.ca/eng/AnnualStatutes/2017_13/F...

You posted a reference to the law. Good start. Now post a reference to what he actually said.