cc the calm
Actually I think the answer is no, per the FAQ and clarifications:
"Q. I have an Event Card which says I can shift an Adversary to Neutral. Can I use this in an Islamist Rule country?
A. YES, BUT do read rule 7.1.3."
Rule 7.1.3 says:
"7.1.3 US Operations in an Islamist Country: The only US operation
allowed in an Islamist Rule country is a special form of Deploy
called Regime Change (7.3.4)."
What governance will be that country (Poor/Fair)? Does it get tested?