Pretty much. It's fairly easy to put all casters into one class. As you can see from the screen shot above, it doesn't matter where you get your magic from (arcane, divine, mail-order). That's all flavor. The mechanics are the same. So I pulled the most common and used spells from both cleric and wizard and put them all together.
I will say this, and not just as a caution to you, but to myself as well and something every designer knows. It is super easy to add additional options. But when the goal is to keep it as simple as possible, I have to fight that urge. Otherwise you just end up with 5e anyway.