Examine the logical coherence between the following ideological evidence and their inferences:
1. Evidence 1: Marxist doctrine posits that private control of core economic resources inevitably consolidates political dominance. Inference 1: Therefore, Marxism advocates for the total privatization of land and forests.
2. Evidence 2: Liberal ideology maintains that individuals should strive for resources in a free market environment. Inference 2: Therefore, Liberalism identifies fair competition as the optimal method for societal distribution.
3. Evidence 3: Gandhian philosophy views state machinery as inherently violent and coercive. Inference 3: Therefore, the ideal Gandhian society culminates in a stateless existence.