Born and raised in Hawaii.
To clear up a little of this and that about the mores and folkways of the local populace here in Hawaii, let me just say that there is this unique blend of social customs that have become the way of life for most long time residents.
On the one hand, we have a custom of being tolerant and welcoming of others, within reason. On the other, there is this strong undercurrent of being "conservative" in the sense that blatant outward displays of affection, no matter if its it's same sex or hetero is privately frowned upon and makes those that witness such displays feel awkward and uncomfortable. I've seen and heard of the same kinds of reactions toward visitors when I stayed with friends and relatives in Tennessee, Georgia and Alabama.
That being said, in places where visitors abound, like our major tourist attractions such as Waikiki the tolerance of such goes way above the norm simply because of the preponderance of visitors in such places.
Out on the North Shore, which is considered "out in the country", there exists this somewhat awkward yet for the most part peaceful and friendly relationship between locals, long time transplants and newcomers who plan to stay and attempt to "fit in".
This constant "push and pull" of blending the old with the new is a kind of perpetual cultural evolution that ebbs and flows with the times.
This "Cop on Lesbians" incident is where I saw the old and ever present "conflict of cultures" that regularly occur within the ebb and flow previously referred to. The problem I see with this incident is that a local LEO (with his locally imbued values) was involved where if it was just another "local" expressing their consternation at the uhhhhh..... "blatant display of physical carnality" in a public place, it would have ended right then and there.