I don't agree with no bull bar and lights. The area he is travelling is full of wildlife and an animal strike can be fatal or render the vehicle stuffed. Also as with any sand driving MaxTrax, they re very handy if you are travelling alone. While we had them during our Simpson crossing and did not need them I have used them while in Cape York.
Just my opinion based on the travel w have done.
Whilst I agree generally with your reply Alan has asked for a list of essentials for a Simpson crossing. The speeds travelled on the actual crossing itself are fairly low and the amount of wildlife to be encountered would be minimal. As far as maxtrax are concerned a shovel and tyre pressures are a useful option for unbogging (is that a word) and if you are really stuck another traveller can assist with a gentle snatch recovery. Granted you may wait quite a few hours if travelling solo but not the end of the world. A bull bar and lights will set you back at least $2k which is a lot of coin.
As I said at the start of my reply that I generally agree with your reply I will say I have maxtrax, bulbar and lights for the reasons you mentioned but I have added these over time. To kit up for this specific trip in a short amount of time I think money should be spent elsewhere first up and if you have the coin then by all means add these other bits.
All my opinion and experiences like you have yours and which are going to be different to others but this is what it is all about