Wow … I go out for a business dinner and when I get back there are so many points to answer.
I’ll quote and reply, post by post.
Faisal, such literalist interpretations, ignoring context, and ignoring other Quranic verses and hadith that define limits for military action, have been around for a long time, and have always been rejected by the mainstream religious authorities. A good example of this is the Khawarij, who were declared heretical for it by none other than Khalifa and Ameer-ul-Muslimeen Hazrat Ali ibn Abu Talib himself.
As I said, their crime in on par with adultery, and your emotions towards them should be exactly the same as towards adulterers.
The hadith in my signature is guidance for Muslim society, rather than individuals. It is not for armughal to go around junting and killing those who commit the sin that Lot’s people commited; rather, it is the duty for Muslim society’s to form courts to try such people in accordance with the laws that God has laid down, and to establish their innocense or guilt in such courts.
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Indeed the Quran is timeless. But the Quran was also one of the means of communication by God directly to the Muslim community atthe time, to address their issues. You can see this in verse 187 of the second surah of the Quran, where God informs the Muslims that He knows they’ve been having sex at night during Ramadan even though they are not supposed to, and therefore in His mercy he’s making it lawful for Muslims to do so.
This verse is clearly targetted only at the Muslims of that particular time, since it was only they who were forbidden to have sex at all during Ramadan.
The verse on the killing of non-believers is a similar instruction, targetted only at Muslims at one point in time who were going through one particular conflict. The volume of Quaric ayats and hadiths that limit what can be done to non-believers leaves no other real possibility for interpretations - antiobl has posted some of the ayats.
Cool. Fortunately, I’m “mAd_ScIeNtIsT”, not “Mad_Scientist” 
If I posted the Hadith that said murderers should be executed, would I be accused of insulting murderers? Would I be accuse of not making it clear that murderers should be tried to ascertain their innocense of guilt before execution?
Well, God’s words in th Quran, chapter 59, verse 7, are that And whatever the Messenger gives you, take it, and whatever he forbids you, leave it. And fear Allah: truly Allah is severe in punishment
So the logic that follows is that if Muhammed (pbuh) gave an instruction, then God wants us to follow it. So if a man (named Abu-Dawud Sulaiman bin Al-Aash’ath Al-Azdi as-Sijistani, who lived in the 9th Century AD) who’s competence and reliability has not been proven to be questionable, did some research and found multiple sources corroborating that Abdullah ibn Abbas (may God be pleased with him, a companion of the Prophet (pbuh)) heard the Prophet (pbuh) say that the sin of Lot’s people deserved death, then the command must be treated as God’s will.
To the best of my knowledge, he had to deal with no cases of it. However, it is clear from the Sunnah that he left behind guidance on how to deal with those found guilty of such acts.
Some of us have directors of $150bn American multinationals to take out to dinner sometimes - cut me some slack! I can’t be expected to post on GS ALL the time 
We’re not all lazy med student bums 