You can see that the plugin embeds the Drift code by hooking wp_head:
// Add the Drift Javascript
add_action('wp_head', 'add_drift');
So all you need to do is
remove_action( 'wp_head', 'add_drift' );
when you’re on the homepage, e.g. in an if (is_home()) or if (is_front_page()) block (they’re more or less equivalent here) in your theme, which will be loaded after the plugins. Or you could even put this at the top of your home page template before you call wp_head().