I don't think you can make people support you.
I suppose what you can do is articulate the sorts of things that are helpful in this situation.
If someone is not good at empathising/listening then giving them a practical task seems like a sound idea. It is unfortunate that they have messed up on this one. Perhaps the options are a) giving another operational task so they have a chance to redeem themselves, b) if they don't function well out of their comfort zone, saying 'Well I am so poleaxed and exhausted by what's happening, if you get all the gardening/car maintenance/DIY over the next couple of months, that will really help.
There is also c) which might involve saying, 'You seem to find it really difficult to understand what I am going through. At the moment I really need someone to listen to me and let me talk about X and Y. I had assumed this is something you would feel able to do. But if you can't do this, my old friends A and B have been through something similar and it will help me to spend more time with them. So it may be that I'll be out some of the time in the evening/at the weekend - which means less time together bike riding/watching Netflix.'
I am assuming that your husband is having some emotional reaction - 'I hate death and if I don't think about it or talk about it, it won't happen. But confronting this head on may be something he can't do, which is why I am suggesting a more operational approach, which may help get you through.
NB. I found my husband impossible after his father died. I think it was more that we just had such different ways of processing loss, and it took us some time to realise it because there was just so much practical stuff to do as well. As well as the children needing a bit of support.