Police are investigating three "deeply upsetting" attacks in as many days at the church in Wigan.
Three men are accused of planning a gun attack on the Jewish community in North-West England.
Homes in Wigan and Bolton remain cordoned off as police question three suspects.
Three men have been arrested in Bolton and Wigan in connection with terrorism offences.
Abram Bryn Gates Primary in Wigan will close next summer with children sent to other local schools.