This question is contradictory between its title and the specifications in the first paragraph.
The title relates to issues about hashkafa (Jewish belief and world view) while the first paragraph, in particular, limits the discussion to only halacha.
For many, those two domains are mostly separate and discrete.
There are ways and examples to explain this strictly in terms of halacha, like for example with the mitzvah of tzitzit and the mitzvot of tefillin. But for most, it would lose the meaning of the belief because they don’t properly comprehend and/or have a relationship with the mitzvot.
But the general idea is that both Jews and non-Jews, while different, are all “possessions” of the Creator and obliged to the Owner of all (קונה הכל).
In that sense, we are all concerned that each of us fulfill the desire & will of the source of all life (חי אני נאום יהוה). Engaging in homosexual practices and activities does not result in new life and, in fact, is equated in traditional Jewish teaching with idol worship and murder.
Rather, we are all enjoined, both Jews and non-Jews to serve G-d together. And this is like we learn from what Adam HaRishon said to all of G-d’s creations on the very first erev Shabbat on the sixth day of creation, like is found in Tehillim chapter 95, which is said by many every Erev Shabbat.
Come, let us sing joyously to the L-rd,
raise a shout for our rock and deliverer;
let us come into His presence with praise;
let us raise a shout for Him in song! For the L-rd is a great G-d, the Great King of all divine beings.