We ask the same or similar question about designers and levels of designers. Kids coming out of Jr. College with a 2 year degree in drafting and design and instantly designer on their resume, 4 or 5 years later they are senior designers? It doesn't work that way.
I know guys that have been working at it for 20 years and have 1 year of experience 20 times then there are guys that love what they do and never stop learning and gaining experience. The troublesome thing is those who pick a college degree based upon what will pay the most knowing they have neither the talent nor the desire to pursue it as a career, its just about the money.
So; At what point are you considered a "Machinist"? I would say if you have found a love and passion for the trade to the point you would spend your own treasure to be involved, you are willing, even desirous to the point of making time to learn and hone the craft, pursuing the knowledge and seek out others with the same or similar desires when any monetary rewards are secondary if considered at all then you are probably, at the least, a member of the club, a machinist. Your level of talent, ability, and skill are a different discussion; but, if you are a member of the club these things will only increase with time.