How weird. It's nothing to do with the skin pack at all though - as I mentioned, there isn't anything in the download that changes any settings. It's just a bunch of .dds files. No one else has reported this issue so not sure what to suggest.
Maybe the last official update changed something? I know that often I have to remap my seating position and reconfigure my steering controls. I tend to just delete my 'Automobilista 2' folder found in 'My Documents' after most updates as it causes issues - and simply remap and reset everything from scratch.
Have you checked the 'Display' settings in the Gameplay menu to make sure that the settings are all correct?
Can you 'WASD' around the cockpit to get the view settings correct? I sometimes have to do this after an update. I race in VR, so it's obviously important to get the settings right, so after a bit of 'WASD' action I tend to get things right. I've just fired up the game on flat screen and my view looks like this:
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