A strike fighter is going to have a beefier fuselage just to accomodate larger diameter strike weapons. And typically carrying a strike weapons in meaningful quantities would warrant wider bays as well. Strike weapons also require some stronger cross sectionals and a certain arrangement of supoorts for structural integrity (forgot the term for it).
Then add to that making it a naval fighter. That means beefier landing gears, a front gear bay in tandem with the support bar bay. Youd need a reinforced undercarriage too. Then add to that your strike depth/size weapon bays. These things arent rrivial to add or remove for an air superirority fighter at least traditionally.
To have an airframe capable of doing both means your air superiority fighter is going to be too draggy and your strike fighter may not have enough space to carry a meaningful payload.
Add to that the two having different engines and its unlikely that a single fuselage design can fit these without making significant compromises.
So whats more likely is two airframes sharing common ancestry. Something like ATF and NATF rather than F4.
@lancer21 no one knows if this was forced upon any particular party, but above is generally why F4 and even F35 kinda scheme seems unlikely. You arent looking at two similar roles or similar opwration settings. Its two pretty different set of requirements and operational settings.
How much digital engineering changes things isnt clear but Im not sure these changes are reconcilable even with digital engineering. Were it possible, these differences arent trivial.