I (woman) used to hate exP (man) using my toolbox because I could never use anything afterwards without first tracking it down (to somewhere weird) and then getting something to stand on to get it down (it was always out of my reach).
He also wasn't very good at stuff like that and I wished he'd leave it so I could do it nicely and tidy up after myself (as opposed to having to treat him like a hero for having done it badly, and then tidying up after him).
I think it's fine for him to have a personal tool box if you have one too and can tackle anything you want; and, if you get into difficulties / can't finish it / break something, you will ask nicely for help rather than expect him to drop everything and fix it without even being asked or thanked. (I don't expect you to get into difficulties, but all the more reason why you can agree this up front).
I think you are well within your rights to be pissed off about how he spoke to you, because he was getting pissed off about a load of hypothetical stuff that hadn't happened yet.
You can take control and say: please never speak to me like that again; ok I will not use your tools if they mean that much to you, but I have to have my own set; you are then not to prevent me doing anything I want with my tools and my time, but likewise I will not co opt your time to support me with these things either, and do not assume that that is what is going to happen.