Contents of MyProfilePage in own ViewProfilePage

We would like, if a user views their own profile page, to have their profile page look like two tabs:
First tab is the contents of ViewProfilePage, and second tab is the contents of MyProfilePage (their editable settings). This way, they don't have to go to a separate page to edit their profile.

Is there an easy way to do this? It looks like the contents of the user's settings (MyProfilePage) is a component called "tabs". I tried adding this component to ViewProfilePage, but this did not work - nothing showed up.

Thanks!