Pakistan's ONLY interest is in countering Indian power.
Given Pakistani intelligence ties to radical muslim groups, and China's problems with muslim seperatists, any flowering of that relationship will be shallow, and likely short-lived.
Pakistan's moribund economy vis a vis India's means that India can ringfence the out of them, especially given the pretty solid proof that IA was directly involved in the Mumbai attacks. , they have recordings where a Paki intelligence officer directly ordered the killing of a Mexican national during the attack.
Pakistan has a whole set of problems, and needs the U.S. as much as we need them.
As much as I like the Pakistani people I have met, their country is a festering extremist hole of anti-American paranoia and militant religious nutjobs.
The corrupt government clings to power with our assistance, and that needs to stop.
We need to get out of Afghanistan so that we don't have to rely on such a partner anymore.
Given that we essentially have to pick between India and Pakistan, the choice of partners in the region is pretty clear.