Drivers License?

We have been driving cars here with Guerrero license plates and Canadian drivers licenses for 17 years. We both have had copies made and laminated of these licenses which we show if ever we are stopped. We also carry the originals. We have been stopped several times over the years but we have never had these duplicated licenses questioned. When we were in Morelia 18 or more years ago we were stopped by "moto traffic police", who tied to scam us for a lot of money. They took my husband's original license and would not give it back to him before he paid up. After this incident we were advised to not give the original over.