They still make them, and are going to for at least half a decade, which doesn't make the rumour any less crazy. Not going to happen, period.
The first flight of the YF-16 happened somewhere in 1974 (+/- 1 year), production began in 1978 or so, operational capability achieved by 1980. Those were the first F-16A/B's (Block 5, 10), which have little to do with today's F-16C/D Block 60s, which have CFTs, IRST, more powerful F-100-PW-229 or F-110-GE-129 engines, new radar and avionics etc.
Pacifism only works if EVERYBODY practices it