It's natural for regulators to want more power - since they're
good, they can always choose to not wield that power
later. The motivation is the same at the smaller per-person scale, with democracy encouraging every person to think as a mini regulator - deciding whether a behavior should be prohibited or encouraged and then enforcing the majority's opinion onto the minority, rather than leaving the behavior unjudged.
Encryption is such an obvious target because it enables nothing besides hiding. Society/government can never see the value in anything that serves to keep society/government out of individuals' business, even though the former only exists on the proceeds of individual autonomy.
So in essence, the crypto/software war is self-defense against govermment/society. Not in the sense of overthrowing or repudiating the entire concept, but in the sense of holding the Schelling point of freedom of speech/thought versus a society/government that, through the same information technology advancement, would otherwise seek to subject them to totalitarian regulation (even if by the majority).