It’s quite a stretch to attempt to include the building of a place of worship as a practice that should or could be restricted. Your poor analogies of erecting symbols on public property fail, when the direct analogies of building a church or synagogue on private property are available.
Personally, I recognize the mosque for what it is, a taunt. However, I also recognize that no has the right to not be offended. When you have freedom, you’ll have offense. Freedom to not offend, isn’t really freedom at all.
Your assessment is fair. I am too emotional over the issue. Sorry.