Objective patriotism seems compatible. Love and pride of country need not be blind.

This is a question that different people will answer correctly in opposite ways, depending on word definitions.

If patriotism means to you love for a government, then it is indeed opposite to belief in freedom (and probably to objectivism).
If patriotism means to you love for a place or people, it is quite compatible with objectivism, but will often go against the government.

I'm not wedded to one definition or the other, but when someone expresses "patriotism" in a way that could be either version, I ask questions.

The notion of American exceptionalism, though, has always been misguided in my view. I believe in capitalist exceptionalism, and would like to see capitalism take root anywhere and everywhere.

This discussion seems to be centered or limited to the understanding of patriotism is America. But as America is losing its “exceptionalism,” and patriotism is lauded by the same people that are responsible for the destruction of America, perhaps we should consider the meaning of “patriotism” historically and globally. And historically, patriotism has been interwoven with nationalism – my country, right or wrong, and defined by the borders of the country or its interests (which often reach out far outside the borders). I would propose that this concept is instinctive, dating back to prehistoric times and development of man’s religions. The pagan concept of god has been tied to a physical location, item or geographical feature – the god of the river, the god of the mountain, the gods on Olympus. People have revered and submitted to the gods of location, but only while being at that location. If they moved, they acquired new gods and felt no allegiance to the old ones. The Hebrews were the innovators who created a portable god, but tens of thousands of years of practice made its way into our spinal cords. Thus, when our illustrious leaders call out for patriotism, beware – those are calls toward your very basic instincts; reason has no place here.