Update your comment count on postComment callback.
Like:
function postComment() {
$.ajax({
url: '/comments/add',
type: 'POST',
dataType: 'json',
cache: false,
success: function(data) {
// Comment accepted..
if (data.status == "ok") {
console.log(data.comment_count);
}
}
});
}
and set your server to pass comment post results with json like:
{status: "ok", comment_count: 19283}