The Word "Islam"
The "root" of the word "Islam" in Arabic is SALAMA which is the origin of the words Peace & / or Submission, a submission to God and peace to all humanity. It is, thus, no wonder why the salutation in Islam is: "Al-Salamu Alaikum or Peace on You."
In this regard, Prophet Mohammad (S.A.W) ordered his fellow Muslims to salute others Muslims or non-Muslims with peace when he said: "Peace Before Speech"
It is a Rule in Islam that during war time, an enemy warrior who pronounces the word peace is totally immune.
Justice & Fairness to Non-Muslims
In This regard, Muslims are governed by the rules that the relationship with non-Muslims should be based on justice, mutual respect, cooperation, and communication. The Quran is very explicit about the justice part of the relationship when Allah stated in Verse 60:08 "Allah forbids you not, with regard to those who fight you not for (your) Faith nor drive you out of your homes, from dealing kindly and justly with them: for Allah loveth those who are just."