Fleshly humans tend to underplay how faith has taken a role in that.
Even the British domination ended up being more easily thrown off because, at root, they were Christian too. I am not sure the Revolutionary War would have ended up as easily (if at all) had the colonies been trying to separate from an Islamic regime.
I think we are about to discover how difficult and costly it will be to separate from a Marxist/Fascist regime.
Militant Secularists where government is god, or militant Jihadists who use terror to create a government for their god - tough call which bunch will cause more horror and bloodshed since they are defacto allies right now, but I am leaning towards the latter.