The WT has gotten people to rely on them for what is supposed to happen in the last days. They don't even follow the correct sequence found in Daniel's book. They can't. Russell started out on the wrong foot and the rest of those following his religion have to do the same.
That being said, the WT's explanation of the Peace and Security cry is something like this - The world thinks it has solved the problem only God can fix. So their cry of Peace and Security is likened to the tower of Babels boast of "nothing can stop us now, we don't need God" Which is false according to WT.
It's past my bedtime so I won't swear to everything being 100% correct.