Hegel is considered to be defending law and order, and that everyone has their place in society and their obligation is to fulfill the duties and obligations that are naturally part of that place. Kant was quite opposite to this. Individual autonomy was the rule. So you might sum-up the argument thus: Hegel saw the disaster of the Reign of Terror of the French Revolution and sought a principle by which freedom can be preserved without disintegrating into chaos. Kant had developed his system before the French revolution, and had a portrait of Rousseau [the ideal of the French revolutionaries] in his room.
In my view, both are a necessary advancement in philosophy, and reflect the ancient tension between individual and the group, and I do not think that anyone has come up with an answer to this tension. I am mainly on the side of the modified approach to Kant of the Kant-Friesian school that Kelley Ross so ably defends in his web site, but I can not share the distain that most Kantians feel towards Hegel.[I admit I might be wrong. After all, see the book by Hobhouse, The Metaphysical State. And I do see that communism took a certain degree of Hegel, and yet I do not agree with communism. I hold with John Locke and the Two Treaties. ]
[BUT I admit my regard for Hegel is probably because I read his Logic ( part of his Encyclopedia) rather than the Phenomenology that everyone else reads--or is assigned to read for their homework. Plus I think the best book on Hegel is McTaggart's. I also like Cunningham ]
At any rate, I would like here to recommend the founders of the second Friesian school, Leonard Nelson and Kelley Ross who provide a necessary amendment to Kant, since I do not think that the B deduction of Kant stands very well on its own, and anyway there is absolutely not the slightest bit of agreement about what Kant actually says there in the first place. [Modern scholars do not agree on the argument of Kant and some of the ambiguity revolves around the question why should things be amenable to be unified into the mind of one subject even before we get to the categories? ] I can see how wonderful it is that Kant is being reintroduced in some universities, still I can't see why people do not adopt the modification of Leonard Nelson. [Even though Nelson was just a continuation of Fries in his own mind, I see a lot more rigorous logic in Nelson. But you do not have to take my word for it. Take a look yourself, and I think you will see what I mean. ]
[The difference between Fries and Hegel is that the connection between sensory perception and the intellectual categories or why, where, when and what are through non intuitive immediate knowledge in the Friesian approach because Kant did not explain any better way that concepts and senses can exist. To Hegel, even sense objects are manifestations of the Logos of Plato-so there is no place where the intellect can't penetrate. ]
Maybe there is disagreement between them, but I see both as modifications of Plotinus and his Neoplatonist approach
i would like here to suggest looking at the phd thesis of kelley ross where he explains the problems of the b deduction and where he whole issue of ''who is the user?''' is explained. i mean that dr ross shows that kant doe not explain well how synthesis of perceptions or consciousness itself comes about and hegel never asks this question and it is only in the leonard nelson approach that this question gets a good answer.