With version 0.7.9a, you should now be able to play the game completely with the mouse, and/or completely with the keyboard. Or you can use both as per your comfort level.
All the menus are now navigable with WASD and SPACE BAR, so you never have to move the mouse if you prefer not to.
Controller Support - Coming Soon
The next step is to include controller support. For now, if you are a controller user, you should be able to use Steam to assign controller buttons to keyboard input, and you will not need the mouse cursor at all.
I plan to work on controller support this week. This will allow the controller to be used "out of the box" without having to use the Steam interface to get it to work.
Options Menu
The options menu should also work with keyboard input only now. Additionally, two new keybindings were added: User Guide and Map, which allows you to access the user guide and map features as needed.
Problems
You will probably find some weird interface issues when using keyboard and/or controller input for now. Please send your feedback if you have any problems or recommendations.