Bitcoin is able to facilitate transactions because of the power put into the computers running the Bitcoin network. Mining Bitcoin provides the functionality for validating the block chain. So, power into the network provides the value of security.
Bitcoin happens to currently use power that way, other coins don't; mining is not the only way to facilitate transactions and facilitating transactions is where the value is, regardless of the method used to do it. Power is but one of several options so the value can't be there.