[MontaniSemperLiberi]

Devout Muslims eat ‘Halal’ just as many Jews eat ‘Kosher’
Not quite true.

From your link, The Halal Food Authority, has these guidlines, http://www.halalfoodauthority.com/HFA%20Brief%20Guidlines%20for%20slaughtering.pdf, Section 6,

"The slaughterman must be a Muslim and would perform the slaughtering and recite Tasmiyah or Shahadah at the time of the slaughtering which fufuls the requirements of dedication and Niyah. Even in everyday life a Muslim is commanded to commence all his deeds in the name of Allah."

Neither Christianity or in Judaism has a prayer of sacrifice required when slaughtering food.

Here is what the Bible says about this,

1 Corinthians 10:28 - But if anyone says to you, "This has been offered in sacrifice," then do not eat it, both for the sake of the man who told you and for conscience' sake--

[stuartcr]

I guess this isn’t the same as offering up thanks for providing food?

[Boogieman]

You’re taking that passage from Corinthians out of context. The prohibited act is not the eating of the food itself, as evidenced by prior verses. That specific situation is cautioned against, because you may be encouraging an idolator by partaking with him after he declares the eating as essentially an act of idolatry. Buying halal food at a grocery store would be covered much more accurately by verses 25-26 of the same chapter:

“25 Eat anything sold in the meat market without raising questions of conscience, 26 for, “The earth is the Lord’s, and everything in it.””