On the surface, I see what they are saying, and what the issue is. I'm going to put my thoughts below in list form.
1 - We should in no wise support Islam.
2 - This is meat essentially offered to idols.
3 - There is nothing wrong with eating meat offered to idols. (There is no such thing as an idol, only God is real. 1 Cor 8.)
4 - Politically I have issues with this happening.
5 - As a Christian I couldn't care less where my meat originates, as long as it is handled in a way which poses no threat to my safety.
6 - For the sake of my brother or sister who has a weaker conviction, I won't eat this halal meat if it would cause them to stumble.
I will try to avoid it if I can, not out of religious obligation, but out of a two fold reason: to attempt to send the message to the grocers that they don't need to carry that product, and to not support financially the making of the meat. That is where my conviction originates. If a brother or sister would be uncomfortable knowing the meat was prepared by those actively worshiping a false god at the time of it's preparation, I will abstain from it as well.
A friend of mine who lived in Israel for a number of years had this to say when I chatted with him about this:
Besides, I had ground lamb and pork-free hard salami, both halal, that were INCREDIBLE
What are your thoughts about eating this meat?
1 Corinthians 8:4-7
1Co 8:4 Therefore concerning the eating of things sacrificed to idols, we know that there is no such thing as an idol in the world, and that there is no God but one.
1Co 8:5 For even if there are so-called gods whether in heaven or on earth, as indeed there are many gods and many lords,
1Co 8:6 yet for us there is but one God, the Father, from whom are all things and we exist for Him; and one Lord, Jesus Christ, by whom are all things, and we exist through Him.
1Co 8:7 However not all men have this knowledge; but some, being accustomed to the idol until now, eat food as if it were sacrificed to an idol; and their conscience being weak is defiled.