Quran, if it is misquoted - would that influence your viewpoint?

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eg Chapter 47 verse 5 reads: 'And when you meet in regular battle those who disbelieve, smite their necks; and, when you have overcome them, bind fast the fetters - then afterwards either release them as a favour or by taking ransom - until the war lays down its burdens. That is the ordinance. And if Allah had so pleased, He could have punished them Himself, but He has willed that He may try some of you by others. And those who are killed in the way of Allah - He will never render their works in vain.' The above is a direct translation from the Arabic text and is the verse in its enitrity. Now read the same verse, quoted by people raising questions about Islam and values of its wisdom in the Quran, read the following: 'And when you meet them, swipe of their heads...and when you have slaughtered them, carefully tie them up.' This is an example of a verse, taken out of context and falsely quoted to be the word of the Quran to paint a negative picture of Islam. Now, if someone says to you that Islam is violent and presents the above two lines to you claiming it is written in the Quran, if you did not know better, you would be inclined to believe the fabrication. Couple that with modern day terrorism, its not hard to see why western commentators, would continue on such false allegations. Would you not agree that Islam needs to be quoted correctly as a prerequisite for debate, rather than false allegations as a basis for blind attacks on untruths? Moreover, for this very reason, it is essential that dialogue is undertaken to clear up these mistruths? Discuss..