International Covenant on Civil and Political Rights
Article 19
1. Everyone shall have the right to hold opinions without interference.
2. Everyone shall have the right to freedom of expression; this right shall include freedom to seek, receive and impart information and ideas of all kinds, regardless of frontiers, either orally, in writing or in print, in the form of art, or through any other media of his choice.
3. The exercise of the rights provided for in paragraph 2 of this article carries with it special duties and responsibilities. It may therefore be subject to certain restrictions, but these shall only be such as are provided by law and are necessary:
(a) For respect of the rights or reputations of others;
(b) For the protection of national security or of public order (ordre public), or of public health or morals.
Article 20
1. Any propaganda for war shall be prohibited by law.
2. Any advocacy of national, racial or religious hatred that constitutes incitement to discrimination, hostility or violence shall be prohibited by law.
https://www.ohchr.org/sites/default/files/Documents/ProfessionalInterest/ccpr.pdf
The US and the UK are state parties to the ICCPR.
The distribution of the Koran in the US/UK violates the ICCPR.
Article 20 is inconsistent with the idea of a right.