Environmentalism has been around for longer than the 60s, and the only reason it has an association with the left is because the right abandoned it. Protecting the environment is an apolitical position since we all live on the same planet.
'Men's rights' is purely manufactured by the right in response to the fall of conservative patriarchal norms that have traditionally placed men at the top of the social pyramid at the cost of other groups. The growth of social awareness and equity movements has forced the right to try and create counter-measures as their rigid heirarchy begins to fade and shrink.
The fundemental basis of all men's rights movements is a lie, namely that men are disadvantaged and that the toxic symptoms of patriarchy that effect some classes of men negatively are the fault of women and equal rights movements.