If you only need to do this once you could use Views Bulk Operations https://www.drupal.org/project/views_bulk_operations
/admin/structure/views
- Click "Add new view" link
- Show "Content" of type "YOUR_CONTENT_TYPE"
- Click "Continue & Edit" button
Under the FORMAT section change Show: click 'Content' change to 'Fields'
- Click 'Apply' button
- Click 'Apply' button again
Under FIELDS section click the 'Add' button
- Checkmark 'Bulk operations: Content'
- Under SELECTED BULK OPERATIONS choose 'Modify entity values' checkbox
- Scroll down a little, you will see OPERATION SETTINGS choose that date Field you want to edit.
- Click 'Apply' button
- Click 'Save' to save that View
Go to the View Page you just created.
- Under Operations choose 'Modify entity values'
- Select one or all of them (I suggest you do one as a test).
- Click the 'Execute' button.
This page will allow you to set the Date to anything you want, even nothing. TIP! for Date if you want no date you need to change all values to blank. You can't delete just the hours, you need to set all of them to blank, which gives you the result you requested.
- Click the 'Next' button.
- Click the 'Confirm' Button.
Congrats. Go back and run it on all of them, if it went as expected on the one test node.