Though the crack is diagonal it looks relatively straight. In this case I'd take a piece of wood the approximate thickness of the crack at it's widest, cut it to length and then taper it so that it fits quite snugly - you should have to use a mallet to tap it home. Don't worry about the thickness too much - but obviously it should be fairly close.
Once this fits use wood glue to bed it in and fill the imperfections, though you might get a better finish using wood filler for this. Basically put more glue in than you need so it gets squeezed into every nook and cranny. Clean it off before it sets, then leave the repair to set.
Once set use a chisel to remove the excess from both sides of the panel and finally sand to make it flush with the panel. Fill any remaining (and hopefully small) holes, prime and paint.
By making the fit tight you minimise the chances for it to move, and therefore crack, further.
I am surprised this even happened at all. That is given 2 things have been met. The moisture content of the trim that you were using was low enough, 6-10%, and the wood used was a decent grade that did not contain "grain runoff".
The way to minimize the gaps that occur is to use biscuits in the joints.
The style of trim you chose, the traditional style that has been done for decades, if not centuries. The reason why it has worked all those years is that all the inside corners that are created by the various layers that make the detail. This hides the little wood movement that does happen. I would think since the trim used back in the day was not kiln dried, and carpenters had to find a way top hide the gaps or cracks created by seasonal movement.
If you did not caulk anywhere on your work, a clean line placed at the inside corners may be all you need, among starting with the things I mentioned at first.
Edit 2-14-2014
It is better you did not sand it anymore. The density of the knots compared to the rest of the wood, would have had the sander grind down the softer wood and left the knots more pronounced. Even with hand sanding, though not as bad. When the wood shrinks during the first year after install, which always happens, well at least most of the time, the knots also show themselves more. If you decide to leave the heads in, BEFORE you caulk, skim the whole face of the offending board like spackling a wall, then sand the whole face with a semi ridged sanding block and 80G sandpaper until you seen the knots just start to pop through, then stop with that grit then go to 120G and remove those 80 G scratches. Prime it and check your work, if it is good then caulk as recommended before. If it isn't, touch up with more lightweight wood filler and spot prime, then caulk.
Here is a sketch that will explain grain runoff to a degree. I found it is also called grain slope. That may have been the proper term all along. Where the grain slope would create a gap like that is in the long trim, the casing on the sides. Grain slope would actually make the piece shrink in length.
![enter image description here](https://i.stack.imgur.com/rqlF3.png)
Best Answer
You really have nothing to lose by trying. Cut the remaining web so the sliver is completely off, then re-glue. Clamp well. Fill the cracks after everything dries.
If you haven't already, consider painting the door, as that will hide the filler.