Here's a new word for you: liberty. It doesn't mean "only liberty to do things that _I_ like", it means tolerating when others do things I don't like, as long these don't constitute (in words of US Supreme Court) a "clear and present danger" to me or others. I don't have a right to post a list of mosques in my area and encourage others to attack their members (if I do so I should very much be arrested, thrown in jail, and forced to pay restitution if any vandalism, property damage, or violence has occurred); I do have a right to say that prohibition of pork both in Islam and my religion (Judaism) is outdated and silly (it made sense when there was no refrigeration and eating pork in a hot climate meant a risk of trichinosis, but it makes no sense now), you have a right to disagree and continue to not eat pork.
There is nothing inherently Western about this idea too. If you don't treat the concept as binary but as a continuum, it's clear that during the Middle Ages parts of Islamic world were more free than most parts of the Western world. There are many Western detractors of the idea of liberty, there are many Eastern (including Islamic) defenders of the concept (see http://www.nocompulsioninislam.com/nocompulsion.html for examples from your own culture, see Mencious and Laozi for examples from Chinese culture).
Being offended does not constitute "clear and present danger". I personally find the literal text of Torah, New Testament, and Koran to be extremely offensive -- but I understand that they are not meant to be taken literally (but frequently are with disastrous results), were written a in different time and in different circumstances, and will do all I can to prevent those texts from being censored.