For me, LinkedIn is a valuable tool to be discovered by recruiters.

You can turn off a lot of sharing of status changes, and make your profile more private. You should go through the privacy settings very carefully and any disable most or all sharing. You don't want that new connection with a recruiter shouted to the world.

Unless you've got a lot of connections, consider making a list of the ones you want to keep, delete the account and start again with carefully set privacy options.