I think Wilf has perfectly summed the situation up, with his "oil and water" analogy.........
In my view, Islam is incompatible with the 'Western' lifestyle in general, and democracy, in particular.
We have open discussions about the relevance and importance of religion - Islam tolerates no dissent, and views itself as superior to all other beliefs, which it attempts to eradicate. I am an an atheist (intolerable to a Muslim !), but I can equally decide to follow any faith, of my own choosing, if I see fit - apostasy is punishable by death in the Muslim world.
Here, men and women are essentially equal - Muslim women are second class citizens within their own community. A British woman can marry anyone she chooses - a Muslim girl has her husband chosen, again dissent is not tolerated. Muslim women have little, if any, property or divorce rights, and are kept in their own native-language enclaves, lest they be "corrupted by our decadence".
Muslims have little respect Western laws, and insist that their Sharia should be the dominant system - thus see themselves as above the law, since their rules were handed down by Allah himself (apparently).
We have elected governments, voted for freely and fairly - Muslim countries tend to be ruled by authoritarian despots, who strictly enforced their one and only religion.
I could go on and on, but take a quick read of the articles of the Universal Declaration of Human Rights.........Islam contravenes every one of them !
My last word will go to King Fahd of Saudi Arabia.......
“The Democratic system that is predominant in the world is not a suitable system for the peoples of our region. … The system of free elections is not suitable to our country.”