It won't matter what type of style you got. In most cases the stylist that doing your extension will examine the base and style and if it's not suitable, then you get either a trim before application (specially if you have heavy weight line to your hair) or they refuse your request!
If you wish to keep your fauxhawk style and get a extension at the same time, then I can only say that it won't look flattering!
Additionally your current hair texture must be compatible with the texture of the extensions and if you have ethnic hair, then make sure they have done this type of hair before or you won't get the right specialist for the job.