I understand, thanks for posting more info. This is definitely possible, but I'm skeptical of the user experience. I say this because once you mouseover a feature name, it shows up on the map but as you mouse out, it disappears. How is a user supposed to get more info about a feature?I guess if you just need to show the feature but don't need to let the user interact with it, this would be a valid workflow. Here's a simple implementation:
<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=7,IE=9" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1,user-scalable=no"/>
<title></title>
<link rel="stylesheet" href="http://serverapi.arcgisonline.com/jsapi/arcgis/2.5/js/dojo/dijit/themes/tundra/tundra.css">
<link rel="stylesheet" type="text/css" href="http://serverapi.arcgisonline.com/jsapi/arcgis/2.5/js/esri/dijit/css/Popup.css"/> 
<style>
  html, body { height: 100%; width: 100%; margin: 0; padding: 0; }
  #map { margin: 0; padding: 0; }
  #meta {
    position: absolute;
    left: 20px;
    bottom: 20px;
    width: 300px;
    height: 100px;
    z-index: 40;
    background: #fff;
    color: #777;
    padding: 5px;
    border: 5px solid #777;
    -webkit-border-radius: 5px;
    -moz-border-radius: 5px;
    border-radius: 5px; 
    font-family: arial;
    font-size: 0.9em;
  }
  #meta h3 {
    color: #000;
    font-size: 1.1em;
    padding: 0px;
    margin: 0px;
    display: inline-block;
  }
  #loading { 
    float: right;
  }
</style>
<script>var dojoConfig = { parseOnLoad: true };</script>
<script src="http://serverapi.arcgisonline.com/jsapi/arcgis/?v=2.5"></script>
<script>
  dojo.require("dijit.layout.BorderContainer");
  dojo.require("dijit.layout.ContentPane");
  dojo.require("esri.map");
  dojo.require("esri.layers.KMLLayer");
  
  var map;
  function init() {
    var initExtent = new esri.geometry.Extent({"xmin":-13787751,"ymin":4476990,"xmax":-10404954,"ymax":6049759,"spatialReference":{"wkid":102100}});
    map = new esri.Map("map",{ extent: initExtent });
    var basemap = new esri.layers.ArcGISTiledMapServiceLayer("http://server.arcgisonline.com/ArcGIS/rest/services/World_Topo_Map/MapServer");
    map.addLayer(basemap);
    var kmlUrl = 'http://dl.dropbox.com/u/2654618/kml/Wyoming.kml';
    var kml = new esri.layers.KMLLayer(kmlUrl, { visible: false }); 
    map.addLayer(kml);
    dojo.connect(kml, 'onLoad', configureMouseOver);
    
    dojo.connect(map, 'onLoad', function() { 
      //resize the map when the browser resizes
      dojo.connect(dijit.byId('map'), 'resize', map,map.resize);
    });
  }
  function configureMouseOver(kml) {
    // get layers
    var lyrs = kml.getLayers();
    var polygons = dojo.filter(lyrs, function(lyr) {
      if ( lyr.geometryType == "esriGeometryPolygon" ) {
        return lyr;
      }
    })[0];
    console.log('polygons: ', polygons);
    dojo.byId("info").innerHTML = "";
    dojo.forEach(polygons.graphics, function(g) {
      // hide the graphic by default
      g.hide();
      var node = dojo.create('div', {
        id: g.attributes.id,
        innerHTML: g.attributes.name
      }, dojo.byId("info"));
      
      // set up an event handlers to show the feature
      dojo.connect(node, "onmouseover", function() {
        g.show();
      });
      dojo.connect(node, "onmouseout", function() {
        g.hide();
      });
    });
    // turn the layer on but no graphics will 
    // show because they were previously hidden
    kml.show();
  }
  dojo.ready(init);
</script>
</head>
<body class="tundra">
<div data-dojo-type="dijit.layout.BorderContainer" 
     data-dojo-props="design:'headline',gutters:false" 
     style="width: 100%; height: 100%; margin: 0;">
  <div id="map" 
       data-dojo-type="dijit.layout.ContentPane" 
       data-dojo-props="region:'center'"> 
    <div id="meta">
      <h3>Display KML Using a <a href="http://help.arcgis.com/en/webapi/javascript/arcgis/help/jsapi/kmllayer.htm">KMLLayer</a></h3>
      <div id="info">The map displays a simple KML file that was created using Google Earth and
      is hosted on an Esri server. Symbology and attributes are honored.</div>
    <div>
  </div>
</div>
</body>
</html>
JSFiddle:  http://jsfiddle.net/swingley/jPTPL/