Steering in drift session - Not able to take a big angle

May be related to this question.
Yesterday, I started playing Grid after quite some time and focused on drift sessions.
The problem is the following : I couldn't help but think the drift cars feel weird.
I can drift pretty okay and get quite some points but I can't keep the car at a large angle for long even with the wheels completely turned. Also, drifting at low speed (<130kph) and changing drift direction (e.g. left turn to right turn) is rather tedious and not esthetic.
This is a question divided in several parts.
Could my steering wheel (picture and name below) not be adapted and thus not translate properly my actions ? In fact, the front wheels don't seem to be able to reach a decent turning angle (for a drift car that is).
If the steering wheel is not involved, could I be doing something wrong ? My drifting technique is self taught through trial and error (and basic physics understanding).
Reach a high speed (>80kph), use the brake pedal to put weight on the front axle while turning in the desired direction, counter-steer/accelerate and then play with the gas pedal/brake pedal/handbrake.Finally, is it possible that the game does not allow to drift with a big angle ? If so, can something be done to improve the car behaviour ?
Side-note : The AI seems to be able to drift without any problem at low speeds. Are the physics altered for them to have such nice trajectories ?
Thanks in advance for your answers.
Should any additional info be needed, tell me.
My steering wheel : Logitech - Formula Force GP
Image found there -> http://ratherget.com/
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How much angle do you need for drifting?
This is typically around 7 degrees or so on most cars. Caster really helps a drift car by making it self-steer better.Extreme steering angle (close to 90 degrees)
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Images: SHVETS production, Alex Green, Alex Green, Alex Green