How to remove CiviCRM links from Drupal user account page?
Permissions are going to be your friend here. If it's a Drupal site you can set a variety of roles with permissions to access parts of CiviCRM; ie:


CiviCRM: access Contact Dashboard
CiviCRM: access CiviCRM
CiviCRM: view my contact
CiviCRM: edit my contact


To supress the View Contact Record link, remove the edit and view my contact permissions from the relevant roles.

If you want to get more granular then you can do so within CiviCRM's ACL (Access Control) settings