I think the Muslim prayer goes like this (with some variation depending on translation): "In the name of Allah; Allah is the greatest [or most merciful]"
Researching this a little, it seems that both Kosher and Halal slaughter are identical, save that in the Kosher only one prayer is said over the first animal (and some sources include the last), while in Halal it should be said over every animal; also the Jews will only consider the front part of the animal (with cattle or sheep), while the Muslims the whole animal. Also the Jews will remove certain veins and nerves, and soak the dead animal in salt water to remove all blood, and Halal skips these. But the physical slaughtering seems to be the same, i.e., without stunning (although some do stun).
See:
http://www.animalhandling.org (caveat: in this linked secular article, they say that the God / Allah of the Christians, Jews, and Muslims is the same God, but this is decidedly
not true, for the Allah of Islam is revealed through the Koran, and the spirit revealed is not of the true God; with regard to the 'G-d' of Judaism, Messiah Yeshua – Jesus in English – said that those who denied Him denied His Father, and did not know God; so the god of Messiah-denying Jews is also not the true God.)
Phil A: check the link above to the Christian Institute (and other articles they link to) to see the contention. Perhaps you are just not aware of it. The CI is a great source for 'intelligence' on spiritual developments in the UK.