Not sure if anyone has had something similar, but here goes...
In creating my models I observed two issues with steering:
(1) Lego's pinion and rack steering mechanism allows for the turning of pinion by a mere 1/4 to 1/2 turn each direction (unless you use a long track, which may not fit in most models), and when connected to a steering wheel, some gearing down may be needed for more realistic 'feel' (i.e. u turn more on steering wheel for that 1/4 to 1/2 turn of the pinion gear). This gearing down worsens the play involved.
(2) Bump steer - in push-along vehicles, you have to hold on to the steering wheel at all times, or else the wheels will veer left or right happily when you just push your vehicle freely. While there are ways to incorporate "return-to-center' behavior, these won't solve problem (1), and will add more load to the servo (if connected).
So I thought of one way to solve these two problems at the same time - placing a worm gear in between, as below (worm gear in red):
(lxf)
So, from the rack and pinion, there's the worm gear, followed by 3 sets of 24:8 gears - axle from the first set can go to the steering wheel, while the axle from the 3rd set goes to the servo.
I believe it is possible to make the structure more compact, and I'll do that when I get down to creating my next model .
Any thoughts?