You write: "Seems to me Christianity should be strong enough to withstand the clash of cultures with Islam."
Sure if there was any reciprocity or even playing field. Did you ever try to do or demand anything comparable in a Muslim country to what Muslims do and demand (and receive) in Christian countries?

Did you ever engage in a structured dialogue with a Muslim faith community? What were the results, especially when it cam to issues requiring some reciprocity? 

What do you think, why is it that Christian-Muslim dialogue is only a priority for Muslims in non-Muslim cultures (where Muslims are in minority)?

You seem to have problems with the "Eastern Bishops' " lack of willingness to embrace the cross.
I am sure you know the difference between "loving" another and volunteering someone other than yourself, for martyrdom.