That's what the F-35 was supposed to be.
The F-15, F-16, and F/A-18 production lines are still running. There is nothing stopping us from ordering new build F-16s with advanced AESA radars and HMCS to displace about half of the planned F-35 fleet. Or better yet, put the F-16XL into production. A protype was built in 1984 but lost out to the F-15E Strike Eagle.
There is nothing stopping us from ordering new build F-15Es with AESA radar and HMCS to supplement the small number of F-22s. Better yet, we could develop the F-15 MTD with vectored thrust and canards. NASA had a research prototype flying in 1989.
“Or better yet, put the F-16XL into production.”
The best bet would be the Agile Falcon, it had a 25% larger wing than the “C” model as well as uprated engines.