Then don't make the data public. You can't have the cake and eat it too. Scraping is irrelevant here - a human can just as well take your picture from your LinkedIn page and include it in their face-recognition DB.
How's that? Obviously they can't keep the photo. But I don't see what would stop them from "viewing" the publicly available photo and saving markers that let them recognize the face again. After all, that's what any person does when they look at a photo.