Abbate > Schweikert > Rematt > Wiest (IF that is his real name.)
I agree with Reply # 265
The line is to determine who consecrated or ordained who, to determine the lineage of orders. You're only including Abbate due to affiliation with the cult.
For the purposes of determining the "line" to Wiest, you can omit Abbate as the timeline given only lists him "consecrating" a certain Lumeno Monte in 1918.
Abbate died in 1963 and had no contact with Schweikert, and Schweikert was not in contact with this cult until 1965.
Schweikert > Rematt > Wiest
I would not trust the salvation of my soul to this "line".
There is no guarantee "Old Catholics" have an unbroken valid line of consecrations and ordinations. Even if the Old Catholics may have started out as an offshoot with a validly consecrated bishop, fallen away and excommunicated, there is no guarantee individuals throughout the years have maintained correct matter and form, and I would not rule out the possibly of human error.
The promise of apostolic succession, and furthermore guidance from the Holy Ghost, was only given to the Catholic Church. For the same reason I would not presume a Eastern schismatic "bishop" or "priest" to have valid orders. Yes it may have been ruled that if correct matter and form were kept that the orders would be valid, but I do not omit the possibly of human error creeping at certain points along the line, as it were.
Individuals could very well be receiving invalid sacraments from "Fr." Wiest.