So, if I add a server, my server (Local), and add it as a basemap (Use as Basemap), I am able to zoom into the data, which is expected, so I then add a real basemap, I still am able to zoom into the data but I don't see my data at this time, so I then add my data via Services Add to Map, at which time, my extent zooms to full extent, and I am no longer able to zoom into the data. I can see my data, it is drawn at this full extent, I am just unable to zoom into the county extent.
Secondary issue:
When I click details on the map and list contents I only see the Bing Maps Basemap, I do not see anything else. I then go to Gallery via ArcGIS Home Dropdown, and then go back to My Map, I now see two instances of My data, so there appears to be a refresh issue, and going out of My Map to some other page allow me to zoom back into the data. If I do not do this extra step, I am unable to zoom into my data after the second time I add Data, so at least there is a known workaround.