Pat's version: "Unfortunately for President Bush, while he has a good heart, he was horribly miseducated at Harvard."
Revision: "While President Bush has a good heart, he was obviously horribly miseducated at Harvard."
Your revision lacks the sense of rhythym and of flow necessary for stirring speech. Its inclusion of the propping "obviously" informs the reader that the phrase following it can be ignored as old news. The overbalancing of the two clauses dulls the sentence to an academic level. In short, it sucks.
Your revision does not reflect Pat's declarative statement that Bush was unfortunate to have been miseducated at Harvard.
Besides that, the nuns who educated Pat would not have taken kindly to those double adverbs of yours.