Just hypothetically. While the Ten Commandments forbid stealing, this only applies as far as the national law of the state of Israel is concerned (e.x. it doesn't apply to taxation, or to depriving enemies of property during war; those things were not considered "stealing" under the law. Similarly how laws forbidding killing or murder don't apply to taking lives during warfare - things which are documented in the Old Testament).
If Christians don't consider themselves bound to always fallow the national laws of the country they reside in (e.x. as an example, Daniel continued to pray to God even when the law of the state he resided in forbid people from doing so, so I would assume that most Christians wouldn't believe that, if they lived under a Communist regime, they would be required to follow all of the laws of a Communist state, especially if the laws forbid religious expression), and consider atheists to be their enemies, does this mean that a Christian theoretically would have the right to deprive the atheist of property? While there may be legal consequences for doing so in the nation they reside it, it may not be against the Bible if the Christian doesn't consider the atheist a protected person under the Ten Commandments (e.x. All citizens of the state of Israel were required to believe in God, so an atheist would have not been allowed to be a citizen of Israel, and would therefore potentially be an enemy who they could deprive of property, such as during warfare with an atheist or "pagan" nation).
Yes, unless they had violated an agreed civilian contract.
What's the act, man?
Yes. Next question.
Yes
Why would anyone even need to ask such a question!?
I would approve of the Christians confiscating a particular computer.
Thank you, OP, for pointing out the problems with a theocratic form of government.
The Qur'an has several passages that say it's OK for Muslins to deprive Christians of land.
I am sure you think that is wrong, correct?