I don't think con/lib has anything to do with who would or wouldn't fly a Confederate flag. Living in the South, I know people who are very proud of their heritage, who fly the Confederate flag but are very much liberal in their political views. I wouldn't expect to see a symbol of southern heritage flying over an Ivy League school or Northern church, or any kind of school or church for that matter. Or over corporate headquarters, unless it's the corporate headquarters of the company who makes confederate flags.
People can 'perceive' anything they please in any flag or symbol. We don't ban things based on perceptions, especially when they are false. You remain factually inaccurate with regard to the reason for the CSA. They were not fighting for the right to enslave people, that was already an established right, protected by the US Constitution and upheld by US Courts. It was the United States of America who determined slaves were property, not the CSA. Whether that was "noble" or not is beside the point, that is the truth.
Again, what you want to try and do with this argument is fast-forward to a time AFTER the war, to a time AFTER we passed the 13th and 14th Amendments and freed the slaves and even AFTER the 1964 Civil Rights Act that gave black people equality under the law. Then you want to run back to 1861 and apply these standards to the South, as if this was the common understanding and law of the land when it wasn't. In addition, you want to apply a stereotype to those who fly the Confederate flag, as if it can only imply one thing.
I also would like to correct another misconception. Here is the "Stars and Bars" flag:
The flag in dispute is not this flag. It is the Confederate battle flag. Over 100,000 Southern Americans died in war under that flag. Many from the South have relatives who were among those people, and I would say that the overwhelming majority of them were not slave owners and didn't even know anyone who owned slaves. They were simply young men fighting for their homeland and independence from a Federal government that was actively attempting to violate it's own Constitution. Was THAT noble? I think it was.