However, these would have to be dynamic map services and re-projection is done on the server-side, not in the Viewer.
For tiled (a.k.a. cached) map services, they must be in the same coordinate system to be displayed properly in the Viewer.
... Does it mean that we have to:
1. Reproject our Dynamic Map to the projection used by ESRI. Do we have to reproject all our spatial data to match it with ESRI. Do we have to do this reprojection on ArcGIS Server or in ArcMap/ArcCatalog before publishing?
2. For Tiled services do we again have to reproject our data at every level of detail to match it with ESRI coordinate system.