I think I'd take issue with the statement that "everything is going fine with us" because, clearly, it's not. I don't know if your husband is a bully but he does sound immature and not really able to work toward a joint resolution. While many couples have some separated bank accounts (my husband and I do), most have a primary joint account that covers the mortgage, the car payments/maintenance, the utilities, the vacations, the medical bills and so on. The separate accounts are for discretionary spending and almost never are based on each person's entire salary going into it.
It seems to me that you two don't know how to argue effectively without it getting nasty. There is a way to "fight fair" and you two need to be taught how to do that. So marriage counseling is in order.
Sometimes it's worth finding out if one party is hiding anything financially and that's why they want a separate account. So if you think that's a factor, bring that into the counseling sessions. Maybe it's not - maybe you two just don't argue effectively and it gets too personal. If you argue to hurt the other rather than to understand the other, it's a big red flag.
If all you're doing is working and sleeping, you're missing out on a lot of joys. I think you should also work with a counselor to figure out your goals, individually and together.