.facebook-connect{ /* I added this div wrapper myself, was not part of the plugin */
  position: relative;
  float: right;
  width: 300px;
  margin-top: -65px;
  text-align: right
}

.facebook-connect a,  /* you probably won't need this css */
.facebook-connect a:hover,
.facebook-connect a img,
.facebook-connect a:hover img{
  border: 0
}

.facebook-connect .fbc_connect_button_area { /* This is the button container for your comment form */
  border: 0;
  float:none;
  margin:0;
  padding:0
}

body .fbc_profile_header { /* I added body to override the CSS from Facebook Connect's default CSS */
  background: url("fbbg.png") repeat;
  border:1px solid #313131;
  border-right: 0;
  padding:10px 5px 5px 10px;
  position:fixed; top: 1%; right:0;
  text-align:left;
  width:220px
}

body .fbc_profile_header a.logout{ /* this is a custom class I added to the HTML in fbconnect.php */
  font-size: .9em;
  color: #999
}