Would you think the outcome of the war would have been the same? I respect Lenin (Aside from his execution order) but following his policies it seems he wouldn't have focused as much on Industrialization (Who's primary goal was agriculture and to feed the country) as his "successor" (Who unarguably made decades of progress in just years) had. Not sure how much but the states were supplying the U.S.S.R. with supplies as they were the other Allies....and the Axis (Or was that only WWI?).
Of course Lenin did not share many of the dictatorial policies like his successor did, so the odds of the "Great Purge" happening would probably have been slim to none. During the Purge Stalin had killed a good chunk of his military staff along with other Russians (Soviets?) due to what some claim to be paranoia, perhaps those generals could have helped turn the tide of the war faster?
Stalin amazed me to be honest, when he watched his sons die he basically showed the world "no one is above the state", ideal for goal of achieving "true Marxism".
And of course the final factor, atleast during the revolution Lenin was able to greatly inspire those around him, those familiar with the revolution would know retreating was practiced by both sides, it doesn't seem like the "one step back" policy would have been practiced. Would a well fed, "happy", possibly "under equipped" army have done better then a starving, horribly equipped and miserable one?