Complex sentence: Many leftist and socialist movements have hoped to mount a "peaceful revolution" by organizing enough strikers to completely paralyze the state and corporate apparatus, allowing workers to re-organize society along radically different lines.
Split into simpler sentences: Many leftist and socialist movements have hoped to mount a "peaceful revolution" by organizing enough strikers to completely paralyze it. With the state and corporate apparatus thus crippled, the workers would be able to re-organize society along radically different lines.