You both need to really be honest with yourselves as to what there is IN all this for the both of you.
wondering2, he's not engaging with you to ask you to tidy your things, and tbh, if you have always been a bit untidy, about bloody time he got used to it isn't it? Or he could PAY for someone to tidy now couldn't he?
If you have problems big enough that you can't have a conversation like this, then you really need to be thinking about what your life will be long term.
Are you willing to put up with this for the next 20 years? what about when the kids go, are you going to be happy sharing a space with someone demanding that YOU keep everything shipshape, the way HE likes it, while he does nothing to contribute?
Joan (adore your name) what you describe in terms of thinking ahead, second guessing and planning your life to smooth his path is HELL! This is exactly how I used to live with my abusive X. It gave ulcers to my ulcers, the feeling of abject fear at the pit of my stomach is something I can still feel when I think back.
Neither of you should be living like this. Joan, your H has schizophrenia, well he ought to be going out of his way to making it worth your while to put up with him on his bad times, not have you living in fear until the next time he kicks off. You do know you have a choice in staying with this kind of scenario, don't you? Your soul was not sold into this.
If anyone is living with a neat freak, then THEY can help maintain the environment to the standard THEY are demanding. or they can STFU. It's not solely YOUR job to keep everything show room condition. And to flip out, throw things and rant and rave at US because THEY would prefer it tidier, is beyond despicable.