The LDS Church sued, as you said, over copyright. It had nothing to do with trying to "silence critics with lawsuits". It was about protecting copyrighted materials that were used incorrectly by a couple who spent all their time attacking the LDS Church (Gerald and Sandra Tanner); seriously, that is all that couple did (does? I can't remember if they are still alive or not). The LDS Church simply ignores critics (some individual church members will respond though). It is a doctrine of the church to let people worship how, what, or where they may (that includes worshiping nothing or attacking the LDS Church). The Church will on occasion respond to critics but will not try to silence them.