Helicoper Movement Help

Hi all,

I'm working on a helicopter game, but I'm not able to get the helicopter moving properly. I was able to make it move forward, backward, side to side and tilt in the direction of movement, but so far, I was not able to make it rotate without lossing the tilt movement. The helicopter includes a rigidbody attached but at this point I really don't care on using physics as i'm trying to emulate an old game so the movement can be character control insted of physics, but then, i was not able to make it work by that way either

Here is what I achived so far: https://dl.dropboxusercontent.com/u/86664182/helicopterMovement.gif

Here is an example on how I want the helicopter to behave: https://www.youtube.com/watch?v=teMUuNksdek

And here is the code that is attached to the helicopter:

 using UnityEngine;
 using System.Collections;
 
 public class HelicopterController : MonoBehaviour {
 
     public GameObject helix;
     public GameObject secondaryHelix;
     public float rotationSpeed;
     public float speed;
     public float tilt; // The amount of rotation in one side or the other when moving
     public float turnSpeed = 30f;
 
     void FixedUpdate()
     {
         float moveHorizontal = Input.GetAxis("Horizontal");
         float moveVertical = Input.GetAxis("Vertical");
 
         Vector3 movement = new Vector3 (moveHorizontal, 0.0f, moveVertical);
         GetComponent<Rigidbody> ().velocity = movement * speed;
 
 
         GetComponent<Rigidbody> ().rotation = Quaternion.Euler (GetComponent<Rigidbody> ().velocity.z * tilt, 0.0f, GetComponent<Rigidbody> ().velocity.x * -tilt);
 
         //Try to rotate the helicpter while moving forward and backward - did't work
 //        if(Input.GetKey(KeyCode.Q))
 //            transform.Rotate(Vector3.up, -turnSpeed * Time.deltaTime);
 //        
 //        if(Input.GetKey(KeyCode.E))
 //            transform.Rotate(Vector3.up, turnSpeed * Time.deltaTime);
     
     }
 
     void Update()
     {
 
 
 
         helix.transform.Rotate (new Vector3 (0.0f, rotationSpeed, 0.0f));
         secondaryHelix.transform.Rotate (new Vector3 (rotationSpeed, 0.0f, 0.0f));
     }
 }

Thanks in advance.