The title of this blog post is the answer to the question posed in this article on ChristianityToday.com
Should Christians Fast During Ramadan With Muslims?
Church leaders and observers weigh in on a current debate.
Compiled by Ruth Moon | posted 10/26/2009 10:37AM
The funny, not haha, part is that this article goes on for 2 pages to answer the question that I can answer in one word. I did it in the title, I’ll do it one more time here:
NO
theologicalpipe.com 
I Corinthians 9:19Though I am free and belong to no man, I make myself a slave to everyone, to win as many as possible. 20To the Jews I became like a Jew, to win the Jews. To those under the law I became like one under the law (though I myself am not under the law), so as to win those under the law. 21To those not having the law I became like one not having the law (though I am not free from God's law but am under Christ's law), so as to win those not having the law. 22To the weak I became weak, to win the weak. I have become all things to all men so that by all possible means I might save some. 23I do all this for the sake of the gospel, that I may share in its blessings.
I continue to grow less certain of those things of which many are quite certain. I also continue to grow more certain of those things of which Christians traditionally are uncertain. Where shall our certainty of life lie? Does it reside in the tangible activities involved in a prescribed sequence of steps which when completed should sum the total of a Christian experience?The haze begins to clear as we step out in a close walk with Father. Our perception now is based on a reality outside of the tangible or the known. We no longer judge the morality of an act or the status of individuals in the light of christianical expectations. We now begin to see past the exterior and see clearly the hurts, the challenges, the needs and the mission of those that truly follow Christ. We can now see that Christ’s investment of blood and life is now transplanted into our own lives along with the crucifixion of our body.
I don't think I know what the correct answer is. I read the article and I will say it's interesting those who commented as answering "yes" have or have had close interaction with those following Islam. Those answering "no" seem to be closely tied to traditional institutional church and probably have an unfavorable view of muslims. I wonder if relationship and love for those Father has brought to us is the real key to the answer? Should our likes or dislikes of a person dictate our interpretation or our cleanness?