So I was thinking of putting 97+ rotors on without changing calipers
Think about it - even if the rotors would fit, there would be no advantage as the effective working diameter of the brakes would be the same if the caliper was applying the brake pads at the same point on the radius relative to the axle
(well, maybe better heat dissipation due to larger mass, but it wouldn't affect the braking capability in itself)
Moot point anyway - they won't fit, but wanted to explain the logic further.
From what I can see of the parts break-out it appears that the caliper & bracket are a single "part" - i.e. one part number, even though seperate pieces.
It sounds like a simple low-cost switch at first impression - I looked into this myself about 6 months ago.
For minimal advantage, this is not worth the investment IMO - take a look at the available options & their pricesfor the late model rotor & you will see compelling reasons not to switch.
For example: Dali drilled & slotted 91-96 $325 F &R - same 97+ is $1000. Then you can get Powerslot, Aero Rotor (Stoptech) etc all available for 91-96 - none for the late model brakes.
If you want bigger brakes, go with an after-market option.