I think that while at least a few Western superpowers don't seem to be minding the chaos in Iraq, Syria, Libya, etc., that much, a large part of the chaos is also the responsibility of Middle Eastern people. Let's not forget the Sunni-Shi'a tensions, the passive verbal crusades between many Sunni and Shi'a scholars, and the willingness of many Middle Easterners to support violence against their own compatriots. It's quite unfortunate.
Keep in mind that at no point in this thread have I defended any "Western" countries. I think the U.S., Russia, and a few other global superpowers have caused a lot of destruction and harm in the Middle East. However, that doesn't mean there aren't many Middle Eastern people who also hold part of the responsibility for what has happened over the years.
About stoning, lashing, etc., it is true that most Muslim-majority countries don't implement those punishments, but I think two things are worth considering here:
1) In Egypt, for instance, millions of people voted Islamists into parliament and voted for an Islamist president in free elections. The Islamists were clearly planning to make Shari'a into state law, and many people knew and approved of the idea. If you ask Muslims in a few different Arab countries (as an example) whether they would approve of applying "God's laws" such as what I mentioned—lashing, stoning, etc.—under "correct conditions," do you think most would oppose the idea? I personally don't think so, but maybe our opinions are different here.
2) Even without stoning or lashing, most Muslim-majority countries still persecute LGBT people. I think it is a significantly relevant fact here that the penalty for homosexual sex is death in some Islamic countries. When something like that is embedded into state law, it wouldn't surprise me to see stoning or lashing make their way into state law as well.
