Here's one mistake in your line of thought, which is the automatic linkage between Christians and Westerners. western and central Europe which are in the middle of an interaction with Muslims, have much secularism in them, so beyond the Western Christianity-Islam equation, many Muslims are simply not aware that many 'Westerners' do not follow a religious line of thought to begin with, a healthy 'western' thinker, is not interested in Islamic theology arguments that Jesus was a prophet and not the 'son of God', but is interested about what social and demographic baggage does the interplay between 'East and West' carries, for example, many Europeans are not worried that Muslims reject Jesus as the savior, but are instead concerned about the cultural baggage and potential confrontation and demographic changes that Muslims bring into Europe, on another level, not only are they not worried that Muslims reject Christian beliefs, but they are more worried that Muslims bring a baggage of religious (or cultural) issues which are at odds with the way of life Europeans have established.
I can tell you what we dont want to know.
we do not want to know if you believe that the Qur'an is a treasury of scientific miracles.
Instead we want to understand about the 'real' issues, some of which are gender issues, radicalization vs reform or moderation, human rights issues, constructive political information vs the slogans about a one Ummah, instead of preaches about 'true Islam' we want to hear the opinions of Muslims about real issues of current events that take place in the Muslim societies.
in short, we want less preaching and more open debate and dialogue without the dichotomy of a decadent West infront of a righteous religion, think about it this way, even if Muslims do believe that Westerners live a life of corruption, there's nothing you can do about it, the Western societies have a history of their own, they have their own spirit of things, people from secular societies have a completely different experience of sexuality, gender roles, philosophies, etc. acting as if Islam is the magic forumla to an unrighteous Western way of life, is the completely wrong approach and shows a great amount of ill-communication, not only do most Westerners are not looking for a new religion, but instead Muslims should worry about the image of Islam as it is seen today in the West before even thinking that Islam is a religion westerners are looking for, there are real problems and strife between Western societies and Muslims, they are more worthy of discussion than hearing which religion is the right one for everyone.