seems like too much sugar, and too long to bake
Are you channeling your best self with this comment? (If you're not sure, check out our Code of Conduct.)
My best-in-the-world, sure to be award-winning if there's a contest for it, recipe for carrot cake also calls for 2 cups of sugar and 4 eggs; although it has a little more oil and a little less flour. And grated carrots. Point is, I don't think 2 cups of sugar will be too much -- I'd expect this cake to be moist and sweet like a carrot cake. My recipe bakes for an hour and 15 minutes at 325 degrees, so I'd say just keep an eye on it and make sure to check it at the hour mark if not before.
i personally don't like very sweet desserts, so i usually reduce the sugar in most recipes for baked goods. if you're concerned about the sugar and don't have much of a sweet tooth, i think you'd be fine reducing the sugar (at least to 1 1/2 c). as for the baking time, i agree with peanut to keep an eye on the cake, testing it with a toothpick after 45 min.