ArcGIS, and the larger Esri suite can be a used in powerful ways with MapBox. All that is needed is the Arc2Earth Sync plugin to bring your desktop GIS to the cloud with MapBox.
With Arc2Earth Sync you can connect ArcGIS to TileMill for high end cartography, direct one click ArcGIS to MapBox publishing to the cloud, and create MBTiles from within ArcGIS.
You can read more about MapBox for GIS professionals or just sign up with a free month of Arc2Earth Sync and get a Standard account on MapBox.com free for one month. In addition, everyone that signs up for Arc2Earth in the next week gets one of these temporary tattoos, just tweet @arc2earth@esri + @mapbox.