Sort nodes by vote results using Voting API or LikeBtn field type.
Like Button plugin is listed in Drupal Modules Directory which gurantees that it has been examined and checked by Drupal Team and 100% safe.
[likebtn]
Module defines a LikeBtn field type containing the Like button which can be added to any Content type.
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admin/config/content/formats). Make LikeBtn shortcodes filter the last filter in the "Filter processing order" list. 
[likebtn][likebtn style="large" i18n_like="Yeah!"]
identifier parameter is used for statistics analysis.
If identifier parameter is not specified, node ID is used. identifier you will see button identifier in statistics instead of content title. You also will be unable to sort content by likes. Make sure to specify a unique identifier for each like button using identifier parameter, otherwise all the buttons will reflect the same number of likes. 
/themes/bartik/templates/node.tpl.php:<?php
$likebtn_count = likebtn_get_count($node, 'node');
if (!empty($likebtn_count[0])):
echo 'Likes:' . $likebtn_count[0]['likes'] . '<br>';
echo 'Dislikes:' . $likebtn_count[0]['dislikes'];
endif
?>/themes/bartik/templates/node.tpl.php, for example), try to display Like Button manually: <?php echo $content['likebtn_display']['#markup']; ?>
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