By the responses you have received I am sure you know you are not alone but I will add my comment in that I feel your pain. My DD is 2 yr. 9 mths and as a baby she absolutely would not nap but at some point with my consistency she finally got into a pattern of napping. Of course we would have some days of her out and out refusing to nap but they were short lived and back into our pattern. All of this has changed in the last few weeks. She absolutely refuses to nap and if you put her in her room she has meltdowns. I sit outside for 10 minutes just waiting for her tantrum to fall into silence as she drifts away into lala land. Yeah, that doesn't happen and finally I give in to her. So now I don't even bother and her bedtime has been moved up to accommodate this new phase.
And yes, my child is STUBBORN. She has got to be the bossiest child anyone has ever meet. She is in her true form when she gets a serious look on her face, pointing her little finger at whoever and telling them exactly how it is going to be. And this I really don't know how to squash. I really think this is personality and I look for the positive which is hey, she will not be a follower. She is clearly a leader. The funniest thing from the other day is she was having lunch with 'her girls' as she calls them. (girls from her dance class) I swear she thinks they are her posse. One of her little friends is strong willed too and we made the mistake of sitting them together at lunch. Her friend was happily singing in her seat with DD pointing her finger at her and telling her 'stop that' repeatedly. So everytime the little girl sang she was quickly hit with a comment informing her not to continue. She finally got frustrated and ran to her mom who tried to take DDs side, but I quickly responded to DD that she hurt X feelings. Her response was just as quick with "Well, she hurt my feelings with her singing."