I assume you can just take the fifth. And taking the fifth can not be held against you.
Also, when I applied for a job about 6 years ago, I made my Facebook account hidden and deleted almost all my posts. After I got the jobs, the ladies there admitted they checked out my facebook account before they hired me.
That was also the job I retired from so this sort of thing is irrelevant to me. That's also true because I live in Kentucky.
But I don't do Facebook any more. In fact, I'm not on ANY social media that has my actual name attached to it. I even use "garbage" email accounts to access them. So I don't really exist on social media.