Does the highlighted sentence mean "the protesters among themselves had disagreements on what would be the best way of achieving the goals of the movement"?
Context:
The very difficult relation of African Americans to their own history of exploitation and persecution in the US, and to their identities as US citizens, was a major theme of African American art during the 1960s, the most active years of the civil-rights movement. By the mid 1960s unrest relating to how best to achieve the goals of the movement had spread, and more violent demonstrations and riots took place in the inner-city neighborhoods where American prosperity was not frequently felt, in Watts (Los Angeles) in 1965, and in Newark and Detroit in 1967.
That's what I read it as meaning!
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