Hi Marco,
I am not from Laminar Research; just a flight simmer from downunder.
Although I don't use it I am surprised that Headshake has an impact on your yoke. Have you set up the software as mentioned in the bottom right hand corner of the page in the following link found at https://www.simcoders.com/headshake/features-and-download
How have you installed your yoke? It has to be installed through X-Plane. There is no other way particularly with Saitek/logitech hardware. Don't even try the installation through your PC operating system
On the basis you have not done so using X-Plane, you need to carry out a full and detailed deletion of the Logitech software using a good reliable file removal software package. When done find the software discs and dig a hole and bury them never to be seen again. If the software was downloaded perform a complete removal/deletion as well from your PC.
Now, before you do anything else have a look at the following video from Michael Brown at XForcePC on how to install the yoke. The link can be found at https://www.youtube.com/watch?v=hU_TuALAlJk You need to view the video several times to understand the process.
If the process is followed for the yoke installation you should not have any problems with the use of the yoke.
Good luck.
Glenn