We are actually getting lots of Muslim groups denouncing the beheading
First I agree that we are taking the correct tack in tackling the problem of islam. Take them out one country at a time and kill the most radical of them. Ann Coulter was right. We need to conquer their countries, kill their leaders and convert them to Christianity.
You seem to be missing what I am saying however. According to the koran and the hadith (the 'biographies' of mohammad (piss be upon him)) a moslem is commanded to be a terrorist. This is pretty cut and dried. Their scriptures command them to kill us
Now if they choose to call themselves moslem we must assumne that they are following the koran and therefore they are enemies. Not due to their particular behavior or their personality or nationality but due to the commands of their religion.
The war on terror will end with the death of the last moslem. Assume that 35% of moslems are not good moslems (that is, they don't follow the entire koran) and assume that these 35% convert to some other religion and raise their children in some other religion abandoning all the precepts of islam that are not included in that other religion. And that we can stop all recruiting into this evil religion. /1
After the remaining 65% are killed in war (which will happen because their scriptures command it) then the war on terror will be nominally over. However the odds are that there will remain a sleeper cell among those 35% because their scriptures command them to lie if they can gain advantage by it.
We will never be able to rest in peace from terrorism as long as there are moslems (or ex-moslems unfortuantely) alive. Their scriptures leave no doubt that they will continue to be terrorists.
My guess at the reaction we are seeing from some groups is more "You stupid idiots! why did you film it. Just off the guy and be done with it. Now you've put us all at risk" instead of "That was wrong and evil"
/1 I believe that the number of non-observant moslems is far far lower than 35% if it were they would have expressed outrage at the attacks of moslems on the WTC in 93 and 911, they would have been outraged at the moslem homicide bombers killing innocent Israeli children etc. There has been no such outcry. To this date most moslems (including those in the US) have been terrorists by proxy.
Seems there is a element that follow the parts you are talking about, some others don't think that way.
We do what we must, but we don't hurt people we don't need to.