This is a very disturbing Dexter Filkins story in the New York Times on Karzai today. Among other problems (e.g., his paranoia), apparently the Obama deadline has not played well with Karzai:

People close to the president say he began to lose confidence in the Americans last summer, after national elections in which independent monitors determined that nearly one million ballots had been stolen on Mr. Karzai’s behalf. The rift worsened in December, when President Obama announced that he intended to begin reducing the number of American troops by the summer of 2011.
“Karzai told me that he can’t trust the Americans to fix the situation here,” said a Western diplomat in Kabul, who spoke on condition of anonymity. “He believes they stole his legitimacy during the elections last year. And then they said publicly that they were going to leave.”

UPDATE: Was just talking to someone following this situation closely, who thinks the thrust of this story may be slightly dated. He thinks that Karzai was somewhat reassured by his trip to Washington last month. But there’s no doubt that he’s hedging his bets.