How to remove the Theme Customization Button from the dashboard and themes options page?

Question

In my Wordpress theme that I've currently been building I do not take advantage of the Wordpress Theme Customization API. As much as I would like too, I've invested far too much time into my own personal theme options framework for changing things.

This leads me to my question. How do I remove the blue, "Customize Your Site" button from the dashboard as well as link shown when viewing Appearance > Themes? I did some Googling, but my Google-Fu failed and couldn't find a solution that didn't use CSS or Javascript.

Ideally a hook to remove it would be best. But if there is no clean way to do so, a JS and or CSS solution would be fine.