Which Whites? And how do they win it? The outcome of a White civil war could mean anything from a reinstatement of the Russian Republic vis-à-vis Kerensky, or the institution of a brutal autocracy under Kolchak or someone, or the return of the Romanov Tsars. I think the most realistic victory would be a situation involving a successful march on Moscow by Denikin. Maybe Nestor Makhno leaves Denikin's rearguard alone, giving Denikin more leeway to assault and capture Moscow? I'm not sure. Anyway, Denikin's exact ideology is hard to place, but Russia under him would probably resemble something of an oppressive aristocratic-military dictatorship. He entertained the idea of the reinstating the monarchy, but it is unlikely that it would have any real power. I think that a Russia under Denikin, Wrangel, or Kolchak would still be fairly weak, as they were proponents of fairly backwards-looking economic policies, and took the aristocracy's (extremely outdated) role in Russian society very seriously. I can't see Russia developing industrially under them.