You are missing something crucial.
No I am not.
Ballistic missile exo atmospheric interception, like US SM3 missiles have performed in the last few days, need a much longer detection range than our CAFRAD can provide. AN/TPY-2 radar in Kurecik has a detection range of 3000 km.
CAFRAD has a detection range of 600km. (Its Multi-Function-Radar - ÇFR, has an operational range of 450km. (600km CAFRAD doesn’t give you a 600km protection radius. That is governed by the missiles‘ range you have)
Additionally the best missiles we may have ready for that Tepe Class are going to be 180-200km range Siper Block-3 missiles. So it can only protect itself and the ships that are sailing with it. Plus the nearby ports or cities it is moored at.
When we have few AN/TPY-2 type radars covering all 4 sides of Turkiye and missiles like SM3 with 1200km to 2500km range and 500-1500km altitude (for different blocks), then we can do what you are suggesting.
Otherwise we will have something similar to a Pac3-MSE or may be a little better.
EDIT
I don’t know if anyone noticed. But had it not been for those SM-3 missiles and Kurecik radar, we had no defence against those Iranian missiles. And we still don’t have anything of ours until post 2028. Even then it will be for close proximity of the target. Not wide area defence.