It was a party not a movement.
You missed the point, I'm afraid. Woodstock was/is largely held as the defining symbol of the emergence of Socialist/Communist/LeftWing politics in this country. It represented the triumph of the Berkley intellectuals of the early sixties.
Woodstock in and of itself was a party, true, but look at the "values" brought forward by the party goers: Sex with no consequences, drugs, false gods/religions (astrology).
Marxism had come home to roost. No one at Woodstock worried about who was going to pay for the party; "somehow", "somebody" would pay...but not the party goers.
Hope you had a good time, by the way. I'M not implying that you represented anything just by going. I attended a similar event that same Summer; 400,000 people attended in Dallas, Texas, music was the best (Chicago, Santana, Led Zep, you name it).