The missile range for Russian kit quoted is for the S300 SAM system, nothing to do with AIM range. The Russians also can't put that anywhere near the front lines as Ukraine is punching them out with ATACAMs. Amusingly as the S300/400/500 are designed to shoot down tactical ballistic missiles.
There is negligible air to air combat as the effectiveness and number of SAM systems makes it very dangerous to operate near the front line for either side. The F16s will be bomb trucks to deliver SDBs and interceptors to shoot down drones and missiles that have been launched at Ukrainian infrastructure well behind the front lines.
Various announcements have said Ukraine will be getting AAMRAMS with 120km range, which is less than the Russian R77 (300km) but again air to air combat isn't in the cards as Patriot batteries will swat Russian planes like sleeping bumblebees just like S300s would to any SU27s or F16s that get close.
I've been struggling to understand how all these different weapons interact. The Russian bombers can launch these glide bombs from 70km away. So Ukraine gets F-16s which can shoot them down from 120km away. But how do they get near enough to do that, when the Russian air defences can hit them from hundreds of km away. Likewise, why can't Ukraine shoot down the Russian bombers with their own anti aircraft missiles.