You can just write into Support and we can help you with this! We can remove the Facebook association and make sure you have a password to log into Chess.com with.
http://www.chess.com/forum/view/help-support/how-to-send-in-a-support-ticket
We also can deal with the abusers, members are not allowed to "name and shame" in the forums so I removed the screenshot you attached.
I have removed Facebook from your account, send me a message if you don't have a Chess.com password and I'll get you set up 
Instead of solving my issue you have deleted my entire game history of over 2000 games!!!
:(
That's impossible, don't worry!
You just signed in from another brand new Facebook account, here's your account history:
http://www.chess.com/home/game_archive?sortby=&show=live&member=automova
So, now I have two accounts each of them linking to my facebook profile!! There are numerous hacking/abusing events on facebook account happening right now due to what happened yeaterday!
I will be deleting this account, please also delete the entire history from the account automova also. I have downlowed all of the pgn files!
Thanks
Your Facebook information is on your profile page, you can edit that off here.
http://www.chess.com/home/edit_profile
I removed the Facebook information from your account as requested but you then created a new account with your Facebook again. I can close both accounts but the game history doesn't get deleted or removed.
Many users when loose starts to abuse my facebook account, which is linked with this site. How can make the link private!! One such disgusting example of a user who is abusing me :(