Hi, I had the same question today. After some research I found a way to get the number of total votes. You can use this code in your theme where you need it:
<?php
$user_count = $wpdb->get_var( "SELECT COUNT(*) FROM
wp_dk_speakout_signatures WHERE petitions_id = 1" );
echo "<p>Signatures: {$user_count}</p>";
?>
petition_id is the the id you also use in your shortcodes to embed the signature-form or signature-list. You can delete the part “WHERE petitions_id = 1” when you just have one petition or want to count all signatures for all petitions.
Maybe your database table for some reason has a different name. In that case you will have to adjust “wp_dk_speakout_signatures” accordingly.