I can't say much about his life in exile. As far as I know he was never a significant figure in politics again, which limits the amount of material on him post civil war. Kerensky was widely perceived in his time as an opportunist and egotist, with these traits becoming more prominent over time as he grew closer to power. He was certainly a radical and even a socialist, with affiliations and ties to both the Trodoviks (Social Democrats) and the Socialist-Revolutionaries. He had been a critic of the Tzars and Tzardom for a long time before coming to "power" and his tendencies as far as legislation were concerned were in the range of democratic socialist to social democratic. He was in favor of all the agrarian socialist and radical liberal policies of his day, from secularization to rights for national minorities, even major reforms in the thorny areas of land redistribution and trade union rights. However, his fledgling government was dependent on the Entente for loans and crucial recognition so he was tied to the wildly unpopular war policy and this was a crucial weakness that led to his eventual overthrow. Significant in Kerensky's personality was the desire to be seen as a national savior, the "man on a white horse". He wanted to gain the tacit support of the left and right and so to appeal to the left he would attend the Petrograd Soviet and make speeches in a working class brogue in favor of Socialism and then attend the Duma to denounce Bolshevism and promise crackdowns on revolutionaries. It's not difficult to see that Kerensky was driven by a mixture of ambition and talent that allowed him to imagine that he could forge a coalition of moderate socialists, liberals and even some desperate conservatives to "save Russia" from "barbarous extremes".

Sources

A People's Tragedy: The Russian Revolution, 1891-1924 by Orlando Figes

Russia in Revolution by Lionel Kochan