The mugshot is public records regardless of the expungement. This question gets asked at least once a week. You have no cause of action against mugshots.com, these mugshot websites appears to be an extension of those local "Slammer" newspaper which publishes everyones mug shots for the week.
Legal disclaimer: This answer is offered for informational purposes only. It is not offered as, and does not constitute, legal advice nor does it constitute an attorney-client relationship. Thank You