The OE antiswaybar links can break but replacing them with a quick disconnect antiswaybar link like from JKS will stop that from happening in the future.
So far as your lift questions go, do NOT install a 3" body lift. A 1" body lift is fine, a 2" is ok if absolutely needed. There is never a reason you should install a 3" body lift, they create way too many problems and they look like crap too. Problems that happen with a 3" body lift that have to be resolved? Transmission shifter angle issues, transfer case shifter angle issues, fuel line length issues, steering wheel shaft angle issue, brake line length issue, etc.
It is FAR better to install a 3" suspension lift with a possibly a 1" body lift if you want some lift.
You won't find an experienced Jeep builder that will recommend a 3" body lift for a Wrangler.