Seeing as the UK's National Risk Register lists space weather as the fourth most dangerous threat to the region's infrastructures, it's not so odd that the government will fund the center's operations. After all, it'll be in charge of issuing early warning signals, so the world can prepare for the the usual effects of solar storms, like GPS or radio signal interruption, satellite damage or even power grid outages and heightened radiation in worst case scenarios.
While the center's a UK project, it's business manager, Mark Gibbs, says it's really the "culmination of more than three years' work drawing on the collective resources and expertise of the UK and USA [from the time PM Cameron and President Obama announced their collaboration in 2011]." In fact, one of the center's partners in monitoring space weather 24/7 is NOAA's National Weather Service. We just hope that they won't have anything bad to report, and that every solar storm just leads to pretty auroras.