The man with the machete's full statement to the camera was:
"We swear by Almighty Allah we will never stop fighting you. The only reasons we have done this is because Muslims are dying every day. This British soldier is an eye for an eye a tooth for tooth. We apologize that women had to see this today but in our lands our women have to see the same. You people will never be safe. Remove your government. They don't care about you."
The emphasis in bold is mine. What he said has solid, sober and undeniable logic. The wars that certain governments are leading around the world have very pronounced self-perpetuating nature. And, judging by their attitude, this will continue there, here and everywhere, following the very "an eye for an eye a tooth for tooth" principle the attacker mentioned. This has simply become a new way of everyday life. The governments who decided to engage in these wars have elevated this into the new way of life perfectly consciously.