Parsnip : As others have said, to get a Canadian PEng, all you need is a British BSc - a friend of mine with nothing more than that had no trouble when he emigrated to Canada from the UK. Also, in most cases, it is my understanding that these days, if you have a Canadian PEng, you can get a US PE without taking the exams, although I could be wrong. But about 20 years ago, in the days when I applied for a US PE, my British qualifications were regarded as practically worthless for the purposes of exempting me from the 16 hour PE exam. And since even Prince Charles is an MIMechE, I can't say I blame them! So I cheerfully became an "Engineeer in Training", even though I had about 15 years experience at the time, and took both the EIT and the Principles & Practice exams, although not on consecutive days, since I wasn't in any hurry, and in any case that feat comes close to requiring the use of drugs. With your PhD, you would probably find both examinations ridiculously easy in terms of content, since in difficulty they lie somewhere between "A" levels and the first year of a British honors degree. At least that was my impression then, but maybe things have changed. I think these days many states have seen the light and exempt experienced Americans with good quality degrees from having to take the exams, so things may well have changed regarding foreign qualifications as well. And if you were eminent enough, I think you could always get a free pass. But taking the examinations was not without its merits, since I learned, or perhaps I should say re-learned, quite a bit actually. It was also my first and only experience of taking both an open book examination, and a serious multiple choice test. Good luck !
EnglishMuffin M.Sc. M.I.MechE. C.Eng. P.E.