I think this is what holds the cable on:
That looks familiar to me, too.
I think there's a big C-clip that holds the shifter handle to the rest of the shifter frame.
Just pull off the clip in the picture that holds the cable, pull off the C-clip, and the whole handle should slide off, to the left side.
Assembly, as they say, is the reverse.
You may have to readjust your cable at the tranny, but probably not.