Update: This is in fact the old St. John’s Episcopal Church, and it originally possessed a very tall spire over twice as tall as the current tower on the right. The Society of St. Pius is still canonically in a state of flux with the Roman Catholic hierarchy as of 2018.
Officially, in Church doctrine this is a chapel, but in form it is a church. Like many of the houses of worship in the older part of the city, this building needed a new use when the density of the surrounding area declined, and is now operated by the Society of St. Pius. You can read about it here.
And it is a survivor, just barely getting demolished for the Truman Parkway and the nearby housing projects.
The back of the church features a truncated choir that ends at the transepts, with a diminutive pentagonal apse. I like it, and it is in great condition.
Most interesting are these engaged buttresses which do not terminate in the ground, but rather return to the wall before the cut stone foundation courses.