No!
NO!
You cannot 'easily' convert your Canadian Cpl, or ATPL easily to a JAA one, or any of its member states. Nor can you 'easily' convert ANY other non-Jaa Cpl or ATPL, to JAA. Otherwise, trust me, hundreds would be doing it already. I have researched this topic for about 5 years now. I have Canadian, FAA, and Caribbean ATPL's. Although there is now somewhat of a conversion process, it could never be deemed easy. You WILL have to write the exams, and do the flight tests, no exceptions.
As for converting a PPL, well that might be easier, but who cares.... better yet, who wants to?
If you search back, you will find many posts on this topic.
However there is one little ray of hope. The JAA recently lowered the minimum training hours for the IR from 50, to 15 (on June 26,2002) -See JAA site.
Good luck.