jacki: Yes pls explain all? Thanx

1. Why are Muslims so hesitant to listen to Christians?
Muslims listen, they just do not always agree.
2. Why are christian view often dismissed without any real consideration?
As I have said they listen, they just do not always agree. The religions have common ground but they are also fundamentally different in other aspects and so this is no surprise, yes? Unless "real consideration" is a euphemism for complete agreement.
3. Why do Muslims seem appreciative of Christian virtues and piety, yet refuse to consider Christian truth?
"Truth" is a relative and subjective term. Finding something positive and worthy of respect even in someone you may not completely agree with is a good thing, since Muslims are Muslims and to accept the Christian "truth" would make them other than Muslims, should Muslims not find something to respect among Christians rather?
4. Before one looks for answers from modern or medieval politics, or from culture or sociology, one should go to the heart and fountain of Islam.
I disagree, there is nothing in either Holy book that prescribes much of what occurs in Christian / Islamic discourse. What has the largest influence on this relationship is clearly history and modern politics. The Holy books themselves have not changed over the course of the last 2 centuries but the relationship between member of the two faiths and the countries they live in certainly has changed. Thus, it makes no sense to blame the books, no?
In short according to Islam, Christians are misguided but are brothers to Muslims as are Jews to a lessor degree. All three faiths share much of the same cast in their religious narratives although they disagree on details. I am unsure if this explanation meets your expectations.