More hatred?
The level of hatred in Pakistan for USA is so high that cannot get any higher but Pakistani hatred is quite fickle.
Pakistanis hate India too but love watching its movies. Pakistanis hate America but love to get a Visa to immigrate there or send their kids there to get a higher education.
And what does USA gain from taking out a ramshackle border post? What strategic value is there in that?
As for NATO supply route, so far an Air Bridge has kept the supply routes open and with US to draw down its forces even further, the strategic importance of having a supply route through Pakistan will diminish. With only 20,000-25,000 troops in Afghanistan after 2014 in a support role, USA could supply them totally by Air.
The supply route has been closed since November and so far it has not effected their operational tempo and besides USA has a six month supply stock build up.