As was suggested above, use rudder assist if you are sick of the more realistic implementation.
There are certainly some quirks with the rudder inputs in MSFS but your issues seem to stem from the realistic reasons WHY planes have rudders, and if you are already, “Sick of it” there has always been a work around built right into the vanilla version of the sim.
That’s pretty much what happens with the realistic setting on the 172. It wants to pull left when taking off and not yet rotated then, assuming no cross wind, will want to drift differently when airborne. This is why pedals are so useful, you can instantly alter the rudder to compensate and when landing alter rudder when the wheels touch the ground to prevent that left drift. Alternatively use auto rudder (rudder assist) instead.
If you do get pedals don’t get slide ones, they are terrible because they tend to stick and dont offer the control that pivot type pedals provide.
You are probably better off opting for rudder assist and waiting until something decent is avilable for xbox. Those Thrustmaster T.Flight pedals are awful, believe me, I had them, they are just abysmal.
I use the same CH pedals, but haven’t fine-tuned the dead zone vs response yet so they are still a little sensitive. The only drawback is an apparent lack of a decent GUI setup, way too much clunk at the center, and I tend to push them into the wall lol. Other than that, they work fine.
Just another point from my experience. I had the rudder problem even with assisted rudder switched off. Interestingly, i switched off take-off assistance and it fixed this problem for me. Is it possible that upon touchdown, the game assumes you’ll take off again, thus assisted take-off plays with your rudder to align you to a wrong runway/taxiway?
Im also on xbox, i use Thrustmaster hotas and TBV1 yolk . The pedals that came with the hotas work alongside the TBV1 if both plugged via multi USB. They work but take a little setting up as there not much input resistance.
As your use to the TBV1 have you tried tweeking the trigger sensitivities in the options to make rudders more or less reactive?
There is nothing realistic in terms of response using a control that moves less than 2 inches to replicate a yoke that rotates through 180 degree and covers an arc you can measure in feet. To get anywhere near true realism requires controls that broadly replicate at 1-1 what the planes controls do. You obviously like using the xbox controller, that’s fine but realistic? No.