Can't go by the tach or speedo - have to look at the power curve and how it is shaped. I could install a tach that ran up to 15K RPM and speedo run to 200 MPH, but that doesn't necessarily mean it can. In the case of the Celica - it is more marketing than anything else - they have to keep the "sportier" aspect of the brand going.
The Celica GT engine is setup to make more power in the middle to upper range. The powerband peak itself is only 400 RPM higher than the Corolla peak, shape is very similar. Also has a lightened internals to handle higher rev limit, but the valves will still float at high revs, so you really won't gain much with a Celica GT-motor swap.
In fact, you could tune your existing motor with a Camcon or go standalone like a Hydra and see 10-15WHP (ie, real power) advantage instead of the 15HP crank difference between them coupled with a much better torque curve.
As for your mods - the intake on the metal tubular intake manifold, even with the AEM intake, will starve the Celica GT motor at higher RPMs. Note that you have to account for induction "pulses" - how the engine breathes. That's why people are surprised that two very similar looking CAI can have vastly different performance on the same car. Engine doesn't really care about the filter - it is a function of tube length, tube diameter, and position of ancillary vacuum ports/openings. The idea is to time the induction pulses to help you fill the cylinders at high engine revs - otherwise, you could starve the engine of air. Look closely at the Celica GT induction system and you'll notice that it has a surge tank on it. That way it can keep up with the engine at higher revs.
OBX headers - if you want to mod the firewall on the Corolla - the Celica GT factory exhaust actually flows better than the aftermarket OBX. Magnaflow cat should be fine - but the difference between having the OEM cat and a straight pipe might only add up to 1 HP difference in the end - not much gain there. Straight pipe is OK - just to play around with total exhaust length. Just like induction pulses, you have exhaust scavenging effects that you can take advantage of. Bigger is not better here - just look at Lingenfelter exhaust on Camaros and Corvettes. They used two 1.75" mandrel pipes, but the outperform aftermarket Magnflow or Borla mendrel bent pipes that are 50% larger. The key is timing the exhaust pulses to the powerband - you can actually have an exhaust pulse "pull" the trailing pulses out of the exhaust, if you take advantage of scavenging.