Actually as you have had it apart, would it be easier to turn the mechanism thru 90 degrees so the ratchet is on the L/R movement?
You cannot turn the mechanism around by 90 degrees with the Hitecs but, moving the ratchet to work L/R is feasible.
Remove the back cover, check out the movement in question and you should be able to see a small black pivoting arm with a spring attached to a post and the arm.
Basically, you need to remove this arm and its spring and place it in the vertical position - look at the other mechanism and you will be able to see what I'm getting at. To remove arm, remove 2 screws either side of trim tab and gently pull the side off - the arm and spring should come out easily. Replace the side and 2 screws then undue the screws at the 90 degree position and install (the removal process in reverse).
I hope I haven't confused you too much. Remove the rear cover off the TX, looking at gimbals operate the sticks and it will become evident how it all works - the worst that can happen is you have ratchet on both plains - L/R and Up/ Dn
Martin du