You can install NoScript plugins in FF and Chrome like browsers to support and force the use of https but in IE i dont think its possible..
Hey i got a link to force IE to use https connection for facebook..
Might be helpful for you...
which i got from this post
Edit: See this link for a similar kind of question, Force https in browser
Added a code sample below,
//==UserScript== //@name Facebook Secure Connection - Force Https (SSL) //@namespace http://userscripts.org/scripts/show/86392 //@namespace http://www.maisdisdonc.com/ //@description Forces Facebook and all links in a Facebook page (include Notifications) to use a secure connection (https). //@version 1.0.11 //@date 15:19 10/10/2010 //@author Merimac //@include http* //@include http*://*.facebook.com/* //@license Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License //@license http://creativecommons.org/licenses/by-nc-sa/3.0/deed.fr //==/UserScript== function $(q, root, single) { if (root && typeof root == 'string') { root = $(root, null, true); } root = root || document; if (q[0]=='#') { return root.getElementById(q.substr(1)); } else if (q[0]=='/' || (q[0]=='.' && q[1]=='/')) { if (single) { return document.evaluate(q, root, null, XPathResult.FIRST_ORDERED_NODE_TYPE, null).singleNodeValue; } return document.evaluate(q, root, null, XPathResult.ORDERED_NODE_SNAPSHOT_TYPE, null); } else if (q[0]=='.') { return root.getElementsByClassName(q.substr(1)); } return root.getElementsByTagName(q); } function fnEnableFacebookHttps() { var url = window.location.href; if(url.indexOf("http://www.facebook.com")==0 || url.indexOf("http://apps.facebook.com")==0) { window.location.replace(location.href.replace(url.substring(0,7), "https://")); } } function fnEnableHttpsLinks() { var url = window.location.href; if(url.indexOf("https://")==0) { for(var i=0,link; (link=document.links[i]); i++) { if(link.href.indexOf("http://")==0) link.href = link.href.replace(link.href.substring(0,7), "https://"); } } } function fnEnableHttpsFacebookLinks(){ var links = $("//a[contains(@href,'facebook.com')]"); //alert(links.snapshotItem(1).href); for (var i=0; i<links.snapshotLength; i++) { links.snapshotItem(i).href = links.snapshotItem(i).href.replace(/^http:\/\/([^\.]*\.)?facebook\.com\/l\.php\?u\=http\%([^\.]*\.)/,'https://$1facebook.com/l.php?u=https%$2'); links.snapshotItem(i).href = links.snapshotItem(i).href.replace(/^http:\/\/([^\.]*\.)?facebook\.com\//,'https://$1facebook.com/'); } } document.addEventListener( 'load', function() { fnEnableFacebookHttps(), fnEnableHttpsFacebookLinks(), setTimeout(function() { fnEnableHttpsFacebookLinks() }, 1000); },