When building public-facing websites with SharePoint 2013 you should disallow anonymous users from overriding the Master Page on your website.
Using Device Channels in SharePoint 2013 you can separate your authoring and publishing experience. This will allow you to optimize your public-facing website for visitors and search engines without losing any of the standard content management capabilities of SharePoint 2013.
On your public-facing website consider enabling the anonymous search REST API to publish your content to other channels such as topic sites and mobile apps.
When using Device Channels on your website set the Vary: User-Agent response header to let Internet search engines know that different HTML is rendered to different browsers.
In this post you will learn step-by-step how to build a companion Windows Store app for your public-facing website built with SharePoint 2013.