As a general rule, isn't it true that, no matter what the INCOME demographics are, throughout the Western-culturally influenced world, large cities are fairly liberal / progressive, and small cities and towns tend to be more conservative?

This seems to be the way the pattern the world is settling into, now that we have globalization and global communications and media.

Small cities and small towns and rural areas are fairly conservative, whereas big cities, especially those with populations well over a million—but even smaller cities with metropolitan areas, tend to be liberal and progressive.

Is this correct? Any exceptions worth mentioning?