If you wanted to only show only your mutual friends to other people in Facebook (well, for whatever reasons) like below, simply follow these quick steps.
Go to your timeline and click the ‘Friends’ tab. This will redirect you to your friends list.
Click on the ‘Manage’ button (the Pencil icon) to pull out the available options. Click the ‘Edit Privacy’ option.
Choose the ‘Only Me’ option for the Friend’s List to hide your friends to other Facebook users. Hit the ‘Close’ button and you are good to go.
This is actually for a cousin of mine. If you think this also works for you, then go.