OpenStreetMap is just the data; what you’re looking at appears to be “some icons that someone unconnected to OSM created”.
In order for the things that you want to appear in Cesium, two things would need to happen:
Data corresponding to (say) “Antenna” would need to be extracted from OSM. This isn’t quite as straightforward as it sounds as there are a whole bunch of things in OSM data that you might want to render as an “Antenna” on a map.
Someone needs to create an icon for “Antenna”.
I notice at https://github.com/AnalyticalGraphicsInc/cesium that there are a whole bunch of links, including to a forum. I’d suggest having a look there, as it’s likely that the question “how do I display stuff that isn’t currently rendered” has already been asked.
Alternatively, depending on what data you want to display and how, some other JS framework may work.