Is NASCAR a subculture or counter-culture?

Nascar is a subculture and not a counterculture.

Subculture: an identifiably separate social group within a larger culture, especially one regarded as existing outside mainstream society. Nascar is a subculture of auto racing, which in itself is subculture of the greater society in general.

Counter culture: a culture that has ideas and ways of behaving that are consciously and deliberately very different from the cultural values of the larger society that it is part of. Nascar followers maintain, in general, the ideas and ways of behaving of the greater society in general. Except for their interest in Nascar, they are average citizens with the same values and behavior as citizens who don't follow Nascar.