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Both Kerensky and the Soviets that comprised the provisional government of the RSFSR (to be precise) at the time the banknotes with fylfots were indisputably socialists.

The provisional government was most definitely NOT comprised of any Soviets. As matter of fact, Soviets were a parallel power structure, with their own armed forces, and wanted nothing to do with Provisional government; that's why they finally overturned it.

But if there are doubts still, let's see what Provisional government actually did while it was in power:

It postponed the expected elections. Instead of ending Russia's involvement in World War I, it launched a new offensive against the German and Austro-Hungarian army in July 1917, thereby weakening its popularity among Russia's war-weary people. The Provisional Government was unable to make decisive policy decisions due to political factionalism and a breakdown of state structures.[5] This weakness led to a challenge from the right in the form of the Kornilov Affair, and then from the left, which organized the October Revolution

I don't see any socialism here, really, just a complete failure, equally despised by the right and the left. It's not even possible to attach any rational policy to this government, aside from the need to "do something."

From Wikipedia: (Kerensky) was elected to the Fourth Duma in 1912 as a member of the Trudoviks, a moderate labour party who were associated with the Socialist Revolutionary Party. A brilliant orator and skilled parliamentary leader, he became a member of the Provisional Committee of the Duma as a Socialist Revolutionary and a leader of the socialist opposition to the regime of the ruling Tsar, Nicholas II.

When the February Revolution broke out in 1917, Kerensky was one of its most prominent leaders, and was elected vice-chairman of the Petrograd Soviet. He simultaneously became the first Minister of Justice in the newly-formed Provisional Government.

Sorry. You're wrong on both counts. Kerensky was a member of a Soviet AND a Socialist.