User Schubert on ExpatForum is concerned that, even though he has renounced his US citizenship, the “place of birth” field in his passport may lead to harassment from border officials.
He asked Passport Canada if it would be possible to omit his place of birth from his passport. In their response, they indicated citizens may choose to have only the city or country name appear. If they would like the section omitted entirely, they must fill out and sign form “Request for a Canadian passport without a Place of Birth,” available at any Passport Canada office, embassy, or by calling 1-800-567-6868.
So the choice is yours. Keep in mind that border officials may not know about this and assume that your passport is not legitimate. Further, Passport Canada advises that you contact any countries you plan on visiting to see if such a passport is legally recognized there.