Many, many on here report greater insulin resistance in the morning, by comparison to the rest of the day That observation is across all diabetes types.
For a T1, they have a choice of varying their IC ratio to reflect that, but for non-insulin dependant T2, that option clearly doesn't exist. Many of those find their solution to be to eat fewer or no carbs first thing. Often this means switching from cereal or toast to something like eggs, eggs and bacon, or cheese for breakfast.
For me, that worked very well, but of course, we all have to find our own way.
If you have insulin resistance, and it sounds like that might be the case, in the mornings at least, doing a low or no carb breakfast could be worth trying.
Most of the T2s taking insulin, and a lesser proportion of T1s find keeping a close eye on diet can be really helpful to their management.
Obviously my post makes a couple of assumptions there, so I'll apologise up front if they'd aren't accurate at all.