I do not want a arduino in the car, i just want to use arduino in the RC transmitter.
You have to put an Arduino in the car as you put the query i understood what that car would be facing , There's a lot to it as i have experienced with custom Tamiya modules in past, there are RC card ready made from the market that you have to hack and attach sensor's and which also controls the motor's so in a nutshell the original uC (MCU) had to be extracted and in place of it arduino has to be placed which controls the h-bridge's etc.
And, there are professional RC drifting kit's out there i suppose and guide not to use those as they are pretty rugged and costly + can cause injury to you so just get a RC toy for this, BUT THEN WHAT i would suggest is to make a line follower robot as a beginner and then in future you pick this up as this is going to be very much similar to the line follower robo and then you will understand what im saying and may be you yourself would be able to devise a nice pathway to achieve this.