Answer Description
Satellite connections often have notable delay/latency issues which would be unacceptable for VoIP and video conferences, they are also negatively impacted by weather. The hand-off for satellite is likely RJ-45 or something similar, you may need a new modem but re-wiring the entire network is an unlikely requirement. Satellite connections can be used with encryption.
Wikipedia
Satellite Internet access is Internet access provided through communication satellites Modern consumer grade satellite Internet service is typically provided to individual users through geostationary satellites that can offer relatively high data speeds, with newer satellites using Ku band to achieve downstream data speeds up to 506 Mbit/s In addition, new satellite internet constellations are being developed in low-earth orbit to enable low-latency internet access from space
Satellite_Internet_access - Wikipedia, the free encyclopedia