Meteor has been integrated on JSF models, but only externally. Integration is not a KPP in the requirement, but I suppose you could carry it externally. Of course then you're not stealthy and will have to fight through a barrage of R-77s from a Flanker that's faster than you, but what do you expect for a mere $150 m a pop?
I've seen a picture of an F/A-18 with a vast number of AMRAAMs too. How far/fast does it go with them?