What spurred women in the new left, antiwar, and civil rights movements to begin to organize around the issue of women's liberation?

The correct answer is Their treatment by male leaders of those movements

Almost all positions of power in the government were held by white and rich males who did not care much about the problems of those who were not connected to them in any way. They all decided to unite on this problem counting on the fact that they would be able to win much more than just women's liberation.