Are you refering to the spiggot bearing in the centre of the flywheel? The spiggot bearing is used to support the front of the input shaft.
As Cool1 suggests a small good puller maybe able to reach inside with the jaws outwards.
Another method to get this bearing out is to find or make a rod that is a slide fit into the bearing casing. Pack the hole with grease, slide the rod in and tap with hammer. Use the pressure of the grease to push the shell back out.
They can smash very easily if the clutch plate is not lined up when installing the clutch. When the gearbox is mounted up the input shaft may mate with the clutch plate but not center into the spiggot bearing. It then takes very little effort or pressure from forcing the gearbox in, to break it. You soon can tell if this happens. The gearbox is hard to get lined up and mate to the engine, then "crack" it becomes easy.
The drivetrain will still work until there is enough play in the input shaft to start busting the clutch plate. The clutch pedal probably went hard because a peice of the bearing ended up in the clutch cover springs where the throwout bearing comes in contact with the cover.
I have been through this a couple of times as I have had to eyeball the clutch plate alignment. Most times I use a clutch alignment tool, made from a cut down input shaft.