It's not direct swap; still scratching my head.
Couple things; boot looks like it doesn't match.
The screws that hold it for the 2013 shift handle is in front of shifter; meaning the screws face the stereo. On the 2012 T-Handle, they are on sides (driver side/passenger side). The shaft for transmission has two screw thread; so I don't think the T-Handle will work on 2013 unless you can drill/tap on side of shaft instead.
I did put handle on and it can be used; I was able to float it and push button to shift in and out of park.
The concern I have is the little plunger that engaged safety lock can be completely removed--theoretically you can tap the shaft but I don't know what is "down" the shaft that could cause damage from shavings as you drill and tap.
I could drill/tap this; so I'm thinking about buying the boot too. The problem I have is whether or not the boot has the plastic with P/D/R etc lettering. If it does, it won't match the dot matrix pattern the 2013 SHO has; hoping the boot can be pulled off and transferred since the pieces are "same" in essence.

However; this other picture tells me the actual shift bezel is separate; see item 16.