In family studies we talk about "walk-away wives." Most divorces are initiated by the wife, after years of complaints that he isn't acting the way she wants, that he isn't listening, that he just isn't making the relationship work. One day, she just walks away. Her lawyers contact his lawyers. Very often he is surprised by this. He knew she was complaining, but had no idea that she was ready to leave. And she just wants to keep the kids and the house.
Presbyterian church law, unlike civil law, makes it absolutely clear that the denomination owns the property.
"All property held by or for a particular church … is held in trust nevertheless for the use and benefit of the Presbyterian Church (U.S.A.)" (G 8.0200 of the Book of Order).
"Whenever property of … a particular church of the Presbyterian Church (U.S.A.) ceases to be used by that church … in accordance with this Constitution, such property shall be held, used, applied, transferred, or sold as provided by the presbytery." (G 8.0300)
"If there is a schism within the membership of a particular church and the presbytery is unable to effect a reconciliation … , the presbytery shall determine if one of the factions is entitled to the property because it is identified by the presbytery as the true church within the Presbyterian Church (U.S.A.). This determination does not depend upon which faction received the majority vote within the particular church at the time of the schism." (G 8.0600)
If most of the leaders and members of Kirk of the Hills want to leave, they can. It's a free country, and a voluntary church. I wish they would stay, but they didn't ask me. But they don't get to keep the church. And they won't win by claiming that they are the true Presbyterian Church, so they should get everything. The Presbyterian Church is connectional, not congregational, and we all benefit from the connection.
That said, I think the presbytery should considering selling the building to the departing individuals at a reasonable price – a price big enough for the remaining members to build a new, more modest church, and start again. That would be generous on the part of the presbytery, and sensible on the part of the exiting folks. The property settlement is not really a matter of how literally to read the Bible (the official reason for the departure). It is just church property law.
If you must go, just walk away, or pay up, and go in peace.