It's interesting, some babies love binkies...and some couldn't care less. I find that pacifier use (and thumb sucking, teddy bear love and blankie affection) are usually inherited directly from the mom or dad's side of the family.
If your baby loves it and is now 1-2 years of age, that may actually be a good thing! Pacifiers can help kids deal with stresses like illness, fatigue, boredom and travel. So, there's no big rush to stop it unless your baby is one of the few infants who sucks so hard it makes them get frequent ear infections.
A word of advice, if you have a strong family history of thumb sucking, don't be in a rush to stop the paci. You may find that taking the binkie away makes your baby start sucking the thumb. That can be a problem for a few reasons: 1) binkies are easier to keep clean than fingers 2) thumbs are more likely to cause dental problems, 3) it is much harder to wean a child off of the thumb than from a pacifiers.