If you have AddToAny on an HTTPS page, simply add an "s" for full HTTPS support.

<a class="a2a_dd" href="http://www.addtoany.com/share_save">
    <img src="https://static.addtoany.com/buttons/share_save_171_16.png" border="0" alt="Share"/>
</a>

<script type="text/javascript" src="https://static.addtoany.com/menu/page.js"></script>