Allow page displays to be both local tasks and menu items
Views page display only lets you choose to have a menu link or menu tab, not both.
Issues
For a page display designated "Default menu tab" a parent menu link is not created
Views local tasks default menu tab bug.
Views can't create secondary local tasks
Views has options for setting up menu tabs (local tasks).
They are tricky to use, and have unclear limitations.
You are currently...
Modules
Entity Tasks
Move entity tasks (IE tabs, view/edit buttons) into a floating block or admin toolbar.
Other modules:
Project updates
User inventory views with account tabs and uid redirect
Project
Users can add bikes, parts, and tools to their inventory.
Provide listing pages to view their inventory.
Prevent non admins from...
Resources
Menu API - Providing module-defined local tasks
How to add local tasks in your module.