You will have to replace quite a few items to convert from non-tilt to tilt. The Tilt steering Column is a different diameter and requires tilt specific pieces from bottom to top.
There are basically 16 main items you will need:
1> Complete core tilt steering column for correct year (63 and 64 are different)
2> Steering wheel itself (They are different from non-tilt!)
3> Tilt steering adjustment lever (short 3rd lever that allows you to adjust steering wheel)
4> Tilt gear shift Lever (tilt lever has a bend)
5> Chrome horn wing and and horn button. (Horn button that attaches to under side has three screws vs the four screws for non-tilt and is of different design)
6> Steering column to dash upper bracket (due to larger column diameter)
16> The instrument cluster bezel on tilt units have a plastic tab on the right side that is made into the plastic shift indicator casing so that it will attach to dash piece seen above. The non-tilt instrument cluster has a metal tab that is actually part of the chrome instrument cluster bezel. To complete the list of all tilt specific pieces you need the tilt style instrument cluster bezel, and the plastic shift indicator casing. The tilt unit can be installed without the bezel and shift indicator case, however, you will need to grind the little metal tab off. This will still leave you with 4 contact points that hold the little dash piece in places. See picture below of example tilt instrument cluster bezel with plastic tab:
You can use the non-tilt instrument cluster bezel but you will need to grind off the metal tab on the non-tilt instrument cluster. This tab connects to the dash piece just above the steering column that contains the wiper switch to left of column and ignition switch to the right of switch.
Here is a pic after the tab was ground off:
*If you pick up a tilt steering column unit be sure and pick up everything you will need...else you have just bought yourself an expensive and bulky paper weight!
So there you go. I think that just about covers what is needed to go to tilt.