Turn off email link?

The link is coded into the theme, so there is no way to remove it from the customizer.

However, it’s a pretty simple fix for a developer to go into the header-frontpage.php and header.php files and just erase the code for the link.

You change this (on line 36 of header-frontpage and line 35 on header.php):

<p><a href="mailto:<?php echo is_email(get_theme_mod('email' , 'user@domain.com')); ?>"><?php echo esc_html(get_theme_mod('email' , 'user@domain.com')); ?></a></p>

to this:

<p><?php echo esc_html(get_theme_mod('email' , 'user@domain.com')); ?></p>

If you’re not comfortable doing this yourself, or if you don’t have a developer, you may want to consider this: http://premium.chirothemes.com/theme-not-looking-like-you-hoped/