Thanks to Scalia flag burning is free speech. Displaying the Stars and Bars is hate speech.
Actually, thanks to Scalia freedom of speech is alive and well. While I cannot burn your flag, and you cannot burn my flag, we can each burn the flag we do own as long as it does not endanger the public by doing so.
While you & I find the act reprehensible is does fall under the freedom of speech protected by the 1st amendment.
Perhaps you can help direct me to the case you are referring to that Scalia said that the confederate flag was hate speech, because I am drawing a blank on that one to be honest.