How can I use Tabs as buttons on a home screen?

You can’t currently link to screen from any style of list, but you can set up multiple relations to different sheets and then create separate inline lists that use each relation. It will give the appearance of one list.

You can however create buttons that link to screen. Unfortunately, they will not highlight the tab at the bottom if you are still displaying the tabs and you will need design the screens of the tab and the link to screen or relation separately.