I don't think anyone can get an 'EU passport' as such - you need to get a passport from one EU country. I would contact the embassies or high commissions of the EU countries you believe you may be qualified for nationality of, starting with the Dutch. They will be able to advise you further of your chances. You may find that different nations (the EU is not a nation!) have different policies about who may be qualified for nationality.
If you have a Canadian ATPL, I think it's very unlikely that you would be eligible for any kind of cadetship in any country. To convert your Canadian ATPL to a JAA ATPL is expensive, but achievable - and essential if you wish to work in the EU, as is the right of abode which your EU nation's passport would give you.
Once you have the passport and the licences, you would be free to apply to any EU or JAA (not the same) airline.
Scroggs