The Alpha Sorter is not what you are showing ... that dropdown showing is for the Sort order of products so customers can see them based on how they want to see your products vs your default display order ...
To remove that ... not sure why you would want to ... you would have to edit the file:
/includes/templates/template_default/tpl_products_new_default.php
by copying it to your templates and overrides directory:
/includes/templates/your_template_dir/tpl_products_new_default.php
And commenting out the display the product order dropdown:
PHP Code:
require($template->get_template_dir('/tpl_modules_listing_display_order.php',DIR_WS_TEMPLATE, $current_page_base,'templates'). '/tpl_modules_listing_display_order.php'); ?>
Changes to:
PHP Code:
// require($template->get_template_dir('/tpl_modules_listing_display_order.php',DIR_WS_TEMPLATE, $current_page_base,'templates'). '/tpl_modules_listing_display_order.php'); ?>
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