Sorry to butt in but...
You do not pull the basket to replace the clutch.
You pull the clutch pack.
And after you assemble the new clutch pack use a rig like this to hold some tension on the plates it is just a couple of pipe couplers for spacers, and extra long metric bolts...

Put the clutch pack back into the basket under the bike, with light pressure on the rig, makes it easy to get every thing lined up.
Once everything is lined up so it slides in and out easy, increase the tension on the rig to keep it all in place, don't go nutz and break anything.
Then pull it out and use this "rig" to compress the clutch pack and install the spring.
Obviously this same "rig" is used to remove the clip from the pack to replace the disks also.
This will keep everything lined up and it will slide right in, no tapping required.

More info and pics here
http://www.jkozloski.com/pics2/clutch/Clutch%20101.htm