They can't, F-4s are mainly for ground strikes, they most likely has no change againts an Air superiority based fighter.
In September 2010, US Army spokeswoman Lt. Col. Tamara Parker confirmed a Chinese-Turkish joint exercise from 20 September through 4 October at the Konya air base in Turkey's central Anatolia region. According to *******, the Turkish air force flew F-4s, and China flew Russian-built Su-27s. Reports indicated F-4s successfully defeated Su-27s in air combat exercises.
The F-4s - never underestimate these old birds - were never meant to dog-fight other fighters but with modern electronics, radar and weapon systems they can fire missiles just as any other airplane out there. Germany's Phantoms have repeatedly beaten the shits out of French Rafales and Swedish Gripens.
Then again, just like any other plane out there they can be brought down by air defense. Good to hear the crew is alive.