A male set on destroying or undermining the creations and constructs of the alpha male for the sake of improving society.
An anti-alpha can become an alpha in his own sub-culture.
Noticing alpha males tend to initialize oppressive zeitgeists and group-think related social and economical problems, the anti-alpha may find it imperitive to end the alpha male and/or his rule.
The anti-alpha is a particular kind of ubermensch that takes it upon himself to help others ascend to his level of awareness.
Martin Luther King was an example of an anti-alpha male, going against the alphas' grain of black oppression.