mapbox.js + WMS

<!DOCTYPE html>
<html>
<head>
  <script src='https://api.tiles.mapbox.com/mapbox.js/v0.6.5/mapbox.js'></script>
  <script src='sphericalmercator.js'></script>
  <link href='https://api.tiles.mapbox.com/mapbox.js/v0.6.5/mapbox.css' rel='stylesheet' />
  <style>
    body { margin:0; padding:0; }
    #map { position:absolute; top:0; bottom:0; width:100%; }
  </style>
</head>
<body>
<div id='map'></div>
<script>
    mapbox._wms_provider = function(template, map) {
        var sph = new SphericalMercator();
        var getTileUrl = function(coordinate) {
            var coord = this.sourceCoordinate(coordinate);
            var nwPoint = coord,
                sePoint = coord.down().right(),
                nwLoc = map.coordinateLocation(nwPoint),
                seLoc = map.coordinateLocation(sePoint);
                console.log(nwLoc);
            var mnwLoc = sph.forward([
                nwLoc.lon,
                nwLoc.lat
            ]);
            var mseLoc = sph.forward([
                seLoc.lon,
                seLoc.lat
            ]);
            console.log(mnwLoc);
                bbox = [mnwLoc[0], mseLoc[1], mseLoc[0], mnwLoc[1]].join(',');
            return template
                .replace('{BBOX}', bbox)
        };

MM.MapProvider.call(this, getTileUrl);
    };

mapbox._wms_provider.prototype = {
        // quadKey generator
        getTile: function(coord) {
          return this.getTileUrl(coord);
        }
    };

MM.extend(mapbox._wms_provider, MM.MapProvider);

mapbox.wms = function(template, map, name) {
      return new MM.Layer(new mapbox._wms_provider(template, map), null, name);
    };

mapbox.auto('map', 'mapbox.mapbox-graphite', function(map) {
        map.addLayer(mapbox.wms('https://nowcoast.noaa.gov/wms/com.esri.wms.Esrimap/obs?service=wms&version=1.1.1&request=GetMap&width=512&height=512&srs=EPSG:3857&bbox={BBOX}&layers=RAS_RIDGE_NEXRAD&format=image/png&transparent=true', map));
        map.zoom(5).center({ lat: 37, lon: -79 });

});
</script>
</body>
</html>

Modified http://api.tiles.mapbox.com/mapbox.js/v0.6.5/mapbox.js to a secure url

https://api.tiles.mapbox.com/mapbox.js/v0.6.5/mapbox.js