IANAL, but if I were...
Franklin had been seen to commit several crimes. Police were called, but had not responded. Franklin's actions escalated to carjacking. Carjacking is a felony against which deadly force is justified.
The case law to cite is Tennessee v. Garner, 471 U.S. 1 (1985), which outlines the criteria under which lethal force is justified in apprehending a fleeing felon. The fact that Franklin was continuing to commit crimes of escalating danger to innocents and that other means of apprehension were not immediately obvious means the shooter was justified in attempting to apprehend Franklin. This started with an attempt to grapple Franklin and, when that proved unsuccessful, elevated to a justified use of deadly force.
Thank you ladies and gentlemen of the jury.