Disagreeing with another's expression do not impinge on their freedom. People disagree with one another all the time. What this is and has always been about is the first party expressing themselves and then not wanting to be held accountable for the consequences of said expression.

I'm guessing from your avatar that you are current or former USAF. Consider the following: if you chose to make some sort of speech considered repugnant or hateful while still serving, do you not think that your superiors would censure you for doing so? You were free to express yourself but not free to avoid the consequence. (All hypothetical, of course...I'm sure you're a person of good character; I was just making an example.) It is important to remember that with freedom comes responsibility.