Chris is totally correct IMO - instinctively, it is very difficult to swap over.
I made the swap from aero modelling sticks to a wheel back in 1986 and although I can drive someone else's stick equipped car now, I wouldn't feel confident in a race situation.
with the exception of a very few top drivers (Like Lee Martin and Kev Lee), my experience with a wheel is that although the steering is more instinctive, the throttle control - and hence brake control - is horrid. My throttle and brake control is binary - and no, i don't drive nitro
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i too drive without using brakes and am consistently slower than others who are more aggressive - it is tricky to change the habits of a lifetime but I wouldn't change your transmitter at the same time - that's then more things to have to think about in the heat of the moment.
'Stick' with the aero modelling transmitter style but maybe try to shorten / tension / re-profile your LH stick a little bit.