Actually, the whole docuмent is dealing with moving to a new theology, not just talking to non-believers about science. The push is not about science - it's about theology. A new theology. Reading further we see:
4. Theological reflection is therefore called to a turning point, to a paradigm shift, to a “courageous cultural revolution” (Encyclical Letter Laudato si’, 114) that commits it, first and foremost, to be a fundamentally contextual theology, capable of reading and interpreting the Gospel in the conditions in which men and women daily live, in different geographical, social and cultural environments, and having as its archetype the Incarnation of the eternal Logos, its entering into the culture, worldview, and religious tradition of a people. From here, theology cannot but develop into a culture of dialogue and encounter between different traditions and different knowledge, between different Christian denominations and different religions, openly confronting everyone, believers and non-believers alike. Indeed, the need for dialogue is intrinsic to human beings and to the whole of creation, and it is the particular task of theology to discover “the Trinitarian imprint that makes the cosmos in which we live ‘a web of relationships’ in which ‘it is proper to every living being to tend toward another thing'” (Apostolic Constitution Veritatis gaudium, Proem, 4a).
It is classic Modernism, as described in Pascendi. Theology is to be recast in terms of experience, including that of non-believers (ie, atheists, pagans, etc). We've seen this already in the Amazonian Synod, where pagans and idol worshippers were consulted in order to teach us what to believe. And now the emerging Amazonian Mass and Amazonian (no, not Ambrosian) Rite .