No owning stock does not make you a capitalist. A stock is simply a portion of a company and it's fractionalized worth that allows the owner of the stock to vote for the leadership of the corporation it belongs to. It's a simple voting system where one stock unit equals one vote.

Here's what separates folks you, me, and your grandparents who own some stocks as a light supplement to living off of the fruits of our labour, and the capitalists who've accumulated enough wealth that they can buy large swaths of stock and live off of the interest that those stocks provide.

We live and die by our work. The capitalists thrive off of our work and face being turned back into a worker if they fail to perpetuate their sizable wealth.