Nope, no historical inaccuracies. You're referring to the Right-SRs, who had recently split from the Left-SRs. The rural socialists banded together with the Bolsheviks in a coalition. You're also ignoring that the workers and peasants already saw the provisional government as illegitimate, backing the Soviets. The anarchists may have had what they believed were good ideas, but the proletariat and peasantry largely disagreed and agreed with the socialists, who coalesced around the Bolsheviks.