Faithful practicers of the global religion that already DOES NOT go to war and that preaches peace and righteousness to others based on flawless principles, straight from the Creator himself - the true religion - WOULD NEVER BE ABLE TO COMPLY WITH DEMANDS OF MEN TO KEEP THEIR RELIGION TO THEMSELVES. That would be in conflict with express commands of the Almighty, so therefore, we would be obligated to "obey God as ruler rather than men" - just like the apostles. (Acts 5:29)
Ungodly humans (including leaders of false religion, especially those of Christendom) have worked (doing the will of Satan) to ban/silence Jehovah/Yahweh's human messengers before, many times. There are those who hate God's words and that do not want others to know about them, since God's written commands and principles expose and condemn wrong-doing and false religious teachings for what they are - unacceptable by the Creator's righteous standards. Some people would rather fight their Maker and his will for others to know life-saving truth than change their ways and quit practicing what God clearly says is wrong.
Examples of this occurred in a number of countries during WWII, with false religious leaders using their relationships with political leaders, including Hitler, to persuade them to issue bans against God's messengers. Religious leaders tried to use wartime hysteria/ patriotism to their advantage to convince rulers to do this; knowing that Christ's true followers follow the standard of politically neutrality, are not nationalistic in recognition of a global brotherhood, and conscientiously refuse to participate in military service - take up arms against their fellow men. (The churches of Christendom, in contrast, DID comply with those requests of Caesar - their choice was to obey man as ruler rather than God or Christ.) This continues to be a major way Satan gets his destructive work done - through corrupt relationships between false religions and the political (and commercial) elements of this world. (God will soon bring that to an end - he is sick of it blighting true spirituality and says that it is ruining our earth. He blames FALSE religion for being spiritually adulterous and spiritistic; and charges it with bloodguilt for "all those who have been slaughtered on the earth." - Revelation 11:18; 18:23,24.)
Being determined to carry out God's commands for true Christians to preach his words to the entire inhabited earth and make disciples of people of all nations (Matthew 24:14; 28:19,20 and more), despite even very strong oppostion, Jehovah/Yahweh's people have taken cases involving freedom of religion and freedom of speech to the Supreme Court of the United States as well as the European Court of Human Rights. Cases won in these places have helped ensure freedom of religion and freedom of speech for everyone in those realms.
However, true Christians are obedient to Jehovah/Yahweh and Jesus Christ, no matter what. For that reason, even in places where preaching God's scriptural messages to others IS under ban, it goes on anyway, successfully, one way or another. God uses his power to help, so does Jesus Christ and so do angels - because it IS God's will that this preaching and warning work be accomplished.
Satan and his forces - both spirit and human - will not quit their warring against God, Jesus Christ and the rest of "the woman's seed" and their companions/ his human messengers, until Armageddon. (Revelation 12:17)
Nevertheless, as the images in Isaiah so beautifully bring out, in fulfillment of prophecy, heavenly Zion, God's wife-like heavenly organization, who oversees this global preaching work, was raised up, in 1919. Never again will any institution of man or false religionists be allowed to bring "her" into "captivity" so as to bring the global preaching work to a standstill. Instead, it will pick up speed, no matter what opposers do. It will absolutely be carried out; and it will be brought to completion - soon. (Isaiah chapter 60.)
Everyone on earth will get their fair opportunity to hear of Jehovah/Yahweh's scriptural truth about him and his incoming heaven-based Kingdom for this earth, to be headed by Jesus Christ. Everyone will get their chance to learn more if they want to, and then choose whether or not they wish to submit to true God-rule rule in their lives - which would mean obeying God's scriptural commands and principles; and worshiping him on his own terms. (That would include dedicating oneself to do God's will, getting baptized as a public declaration of that; and associating with other humans around the world who have also chosen to serve the One God, in united, brotherly love.)
Then will come the crash of Satan's world empire of FALSE religion (Revelation 18:4,5); then Armageddon to clear out any remaining forces in oppostion to God's righteousness (Revelation 19:11-20). Then comes the peaceful new world system here at last. (Revelation 21:1-4)