Is all sudden change an act of God in your opinion? I'm talking about revolutions, not miracles. The _idea_ of democracy has evolved over a long time, but most countries did not have a long local tradition of applying it or building institutions at time it became political reality. Britain and the U.S are not typical examples of how democracy is introduced.
In many cases it was an idea that took hold in the minds of a smallish group of political activists and thinkers who observed what happened elsewhere and adapted it. In fact, one of the most pressing problems of those activists has always been how to get "the people" interested in it at all. And most of the time it wasn't democratic principles that got people interested but economic interests.
In other words, the introduction of democracy was rarely very democratic or purely homegrown or very principled or very peaceful or free of foreign influence. The old powers were often toppled under rather chaotic and opportunistic circumstances. That slow cultural process you're describing, which supposedly only works when there are no civil wars, foreign invasions, ethnic or religious conflicts or poor economy, is the exception, not the rule.
Also, the whole concept of "foreign" is flawed when it comes to ideas. Picking up "foreign" ideas and applying them somwehere else has always been part of every culture on this planet, and that has nothing to do with any gods.