Iridium NEXT is not meant for consumer broadband services.
OneWeb and Starlink (Elon Musk's project) are both being developed and deployed right now. It will be at least a couple of more years before commercial service starts, though. Both systems are on lower orbits, and network latency should be better than HughesNet and other GEO satellites. However, available bandwidth per user depends on lots of factors, primarily the subscription ratio. Given the huge initial investment that they must make to launch satellite constellations, I don't think they will cap the number of subscribers until congestion becomes a real pain in you know where.
Unless they get sued for light pollution in low orbit the need over 3,000 small satellites. There was already a complaint from astronomers