First off we are lions, not lambs. If you train in a martial art, you maintain at least a limited understanding of warriorship.
That is your view, and of course, you are entitled to it. However I have seen that that is not necessarily the case, ideal though it may be. Oh, and I am neither a lion nor lamb, I am very happy being a man...
We do not run from conflict but defusion and avoidance should still play a key role in our strategy, but if confronted with an armed assailant and there is no recourse but to defend ourselves and our loved ones, we must address this issue with the most appropriate and urgent means possible, still there are other issues which play vital factors in the aggressiveness of such an attack.
Okay, that was certainly a sentence.... Might want to break those thoughts down a bit more. I may also suggest a carved-in-granite approach (to your posting as well as your thoughts), you do say that we should "think outside the traditional box..." You may want to think outside the limitations that you impose on yourself as well. Relax a bit. Not everything is "must", it's not all black and white.
But to the point.
1. It is lethal force and should be addressed as such.
2. Position of the knife grip of the assailant is vital.
3. Range at the onset is of utmost importance.
4. Limiting exposure to vital areas such as the inside wrist, chest, stomach and neck are duly important.
5. Stance and use of field expediant defensive tool is essential.
Okay, these are good, and if someone reading this hasn't realised this already, it's good to let them know. But again, relax your method of delivery, you may find that people will be more willing to listen if it doesn't come across as you lecturing them on things they already know.
If the assailant positions his hand in a standard tactical grip (thumb on top of handle) best recourse is to use a technique called indexing, best scenario is knife against knife but will be explained here briefly without the use of a defensive instrument since it is still can be done effectively taking a defensive stance, make a clenched fist and strike down on to the inside of the assailant's wrist (knife hand) then quickly grab with our opposite hand grabbing his wrist pulling the wrist away from your body. If this technique is done correctly and with adequate purscision it will dislodge the knife from his hand or loosen his grip and allow time for you to address the knife appropriately. Try to strike with the two large knuckles of your hand to the inside wrist area, this technique will need to be practiced repetively to acquire proper accuracy. Style to watch CQD (Close Quarter Defense) indexing technique, if you can find it.
Okay, this is why I am saying to relax your approach a bit more, this is not allowing so many variables at all. To begin with, this indexing technique is relying on a specific placement of yourself (inside the opponent's weapon), but that is not actually my biggest issue with it.
Against a knife, if it is just being held out, it is most likely only being used to threaten or scare, so I'm just going to go along with what is asked (unless it puts myself or my loved ones in danger, obviously. If they just want money, I have no problem parting with that), and if you suddenly try to strike against the knife hand then, well, odds are you just cut yourself unnecessarily. From the more dangerous side. Not something I would advise at all.
If the attacker is slashing or thrusting, then the only time I may consider this type of responce is against a "forehand" slash, against a "backhand" or a thrust, I'm going to try to stay outside. It's just safer. The next thing to realise is that the natural human reaction (remember I said I wasn't a lion or lamb?) when there is something coming in like that is to grab. It may not be the smartest thing, but it's what we're hardwired to do. So your responce will take a lot of training to counterman that hardwired reaction, and I would prefer to do something that is more in line with a natural responce.
You also say that you should take their arm and move it away from your own body? Really? That's probably the last thing I would suggest, particularly if they stilll have the knife.... By bringing it in towards your hip (past your hip, so you don't run yourself through!) you can control a lot easier. Pull their arm out away from yourself, and all you are doing is removing your control and giving them the space to manipulate the knife, turn it and cut you, or worse. Not really good.
But the big thing here is that this is incredibly limited, and if you are saying that this is the ideal action, and better than all others (which is how your post reads to me, honestly), then you may find a nasty surprise if you see a different shape in real life.... or more hopefully in training.
If attacked with a reverse grip try striking aggressively with a inside forearm block keeping your blocking hand (support hand) in a clenched fist. Style to watch San Soo Kung Fu, best known for this and many of their opening blocks.
Again, the natural responce is to grab, so I'd personally go with an open hand to enable that grabbing action to work for me... but that's me. And again, this may work for some reverse grip attacks, but I can see it just resulting in cut forearms in many circumstances.
Defensive preventable measures that you might implement into practice can be implementation of kevlar gloves and forearm protection practice all your defensive techniques against a knife rather than a punch, sparr regularly with washable markers to acquire agility, speed and accuracy.
Why the kevlar gloves unless you are talking about metal training knives? And if you are, why? And if you are talking about sparring against a knife, I'd personally advise some eye and face protection as well....
As for the markers etc, that can be fun. But it's best use is to highlight just how easy it is to get cut. So I wouldn't use it too often. Instead, I would rather rigourously drill a series of principles over and over (and over and over and over.....), and use them as a method of testing afterward. It's actually not quite as realistic as it seems.
Always think try outside the Traditional box