B Does Not Follow A

A number of sources on Twitter have pointed out this little logical mind bender put forth by the NRA.

A. The populace needs guns to protect themselves from the government. B. The government needs to put guns in schools to protect kids from the populace.

Am I missing something?

Cognitive dissonance is a term used in modern psychology to describe the feeling of discomfort when simultaneously holding two or more conflictingcognitions: ideas, beliefs, values or emotional reactions. In a state of dissonance, people may sometimes feel "disequilibrium": frustration, hunger, dread, guilt, anger, embarrassment, anxiety, etc

Source: Wikipedia