How to make a wireless wii nunchuck controlled robot

I’m trying to make a robot to get information wireless from a wii nunchuck. I have wrote a code for the robot when the information travels to the arduino thru a cable. Here is the code for a wii nunchuck controlled robot were you need a wire:

#include <Wiichuck.h>
#include <Wire.h>
#include <Servo.h> 
#include <AFMotor.h>
Wiichuck wii;
Servo vertServo;
const int vertServoPin = 1;
AF_DCMotor motor1(1, MOTOR12_64KHZ); //motor1 is connected to M1 port
AF_DCMotor motor2(2, MOTOR12_64KHZ); //motor2 is connected to M2 port
AF_DCMotor motor3(3, MOTOR34_64KHZ); //motor3 is connected to M3 port
void setup() {
  Serial.begin(9600);
  vertServo.attach(vertServoPin);
  
  wii.init();  
  wii.calibrate();  // calibration
}

void loop() {
  if (wii.poll()) {
    int joyX = wii.joyX();
    int joyY = wii.joyY();
    
    if (joyX == 127.5 && joyY == 127.5) {
      // turn servo right
      motor1.run(RELEASE);
      motor2.run(RELEASE);
      motor3.run(RELEASE);   
    } 
    
    if (joyY > 127.5 && joyX < 191.5) {
      // turn servo up
       motor1.setSpeed(192);
       motor2.setSpeed(192);
       motor1.run(FORWARD);
       motor2.run(FORWARD);
       motor3.run(RELEASE);
    }
    if (joyX >= 191.5 && joyX <= 255) {
        motor1.setSpeed(255);
        motor2.setSpeed(255);
        motor1.run(FORWARD);
        motor2.run(FORWARD);
        motor3.run(RELEASE);
    }
    if (joyX < 127.5 && joyX > 64) {
        motor1.setSpeed(255);
        motor3.setSpeed(255);
        motor1.run(FORWARD);
        motor2.run(RELEASE);
        motor3.run(FORWARD);
    }
    if (joyX <=0 && joyX <=64) {
      if (joyX > 191.5 && joyX <= 255)
        motor1.setSpeed(255);
        motor3.setSpeed(255);
        motor1.run(FORWARD);
        motor2.run(RELEASE);
        motor3.run(FORWARD);
    }
        
    if (joyY > 127.5 && joyY < 191.5) {
        motor1.setSpeed(192);
        motor2.setSpeed(192);
        motor3.setSpeed(192);
        motor1.run(FORWARD);
        motor2.run(FORWARD);
        motor3.run(FORWARD);
    }
     if (joyY > 191.5 && joyY <= 255){
        motor1.setSpeed(255);
        motor2.setSpeed(255);
        motor3.setSpeed(255);
        motor1.run(FORWARD);
        motor2.run(FORWARD);
        motor3.run(FORWARD);
        //add backwards
     }
    } 
  }

How can I make this wireless? I can maybe have a wireless wii nunchuck and connect the adapter to the arduino board. Then I don’t need to change something in the code. I just need to power the adapter and connect the data outputs on the adapter to the analog pins that are alredy set to take data. Would this work?

Yes, that will work. I did exactly that and it worked exactly like a wired nunchuck.