If you assume that the security side of the equation is a false promise, then you are not making a decision at all: choosing between liberty with no security, or no liberty plus no security (because it's fake).
And for me, it seems somewhat disingenuous to imply that a decision is being made when your premise belies that.
It's not that security is fake, it's that giving up liberty doesn't naturally produce more security, and pursuing greater liberty doesn't necessarily erode security either.
It's not like pre-Revolutionary America was a notably secure place that inevitably see-sawed into a freer but insecure place afterwards.