Actually Toth and the Carpatho-Rusyns/ Ruthenians were not from Galicia. They were from the area now know as Zakarpathia. This area at times has been ruled by Hungarians and by Slovaks.
I'm afraid you are at least partially mistaken. St. Alexis (Toth) of Wilkes-Barre was indeed from Hungary. In particular, he was from the Prešov Region of present-day Slovakia. But the Prešov Region was never referred to as "Zakarpattia". "Zakarpattia" was a term created after the in 1947 incorporation of historic Subcarpathian Rus' into Soviet Ukraine (officially as the
Zakarpats'ka oblast' of the Ukrainian SSR). Referring to a region of Slovakia as "Zakarpattia" is anachronistic (or perhaps irredentist depending on your degree of Ukrainian nationalist perspective).
As to the people St. Alexis encouraged to transition from Greek Catholicism in union with Rome to the Russian Orthodox Church, let's go through parish by parish and look at who exactly they were:
1) Minneapolis -- his first pastorate was a parish almost entirely of people from 4 adjacent villages in the Prešov Region.
2) Wilkes-Barre -- his other, longest, pastorate was a parish about 75% Lemkos from Galicia. The remainder were about 23% from the Prešov Region and maybe 2% from the Russian Empire. It was people from Wilkes-Barre who re-emigrated to the Lemko Region and established new Orthodox communities with the help of now St. Maksym (Sandowicz) of Gorlice.
Of the other parishes he directly led (back) to Orthodoxy or where he personally had a strong influence in that decision (in Pennsylvania unless otherwise noted):
Sheppton -- almost entirely people from the Prešov Region.
Old Forge -- almost entirely people from the Lemko Region (Galicia).
Osceola Mills -- about 60% from the Prešov Region, 38% Lemkos from Galicia, and the rest from the Russian Empire.
Allegheny / North Side Pittsburgh -- about 70% from the Prešov Region, 25% Lemkos from Galicia, and the rest from the Russian Empire (there were other ethnic groups in this parish, such as Greeks and Syrians, but along with those from the Russian Empire they were probably not in need of 'returning' to Orthodoxy).
Charleroi -- about 95% Lemkos from Galicia, the others from the Prešov Region.
Scranton -- around 90% people from the Prešov Region, 10% from the Lemko Region or Ukrainian Galicia.
Mayfield -- about 99% Lemkos from Galicia, the others from Ukrainian Galicia.
Olyphant -- almost entirely people from the Lemko Region (Galicia).
Catasauqua -- about 85% from the Prešov Region and Subcarpathian Rus', the rest from the Lemko Region (Galicia).
McAdoo -- all the parish founders were Lemkos from Galicia.
St. Clair -- all the parish founders were Lemkos from Galicia from a single village.
Passaic/Garfield, NJ -- about 90% Lemkos from Galicia, the others from the Prešov Region.
Cleveland, OH -- about 75% Lemkos from Galicia, the others from the Prešov Region.
Ansonia, CT -- about 98% Lemkos from Galicia, the others from the Russian Empire.
Bridgeport, CT -- about 95% people from the Prešov Region.
Yonkers, NY -- about 90% Lemkos from Galicia, the others from the Prešov Region.
Philadelphia -- about 10% from the Prešov Region, the others from Ukrainian Galicia and the Russian Empire.
etc. You get the point.
As to whether Lemkos from Galicia are Carpatho-Rusyns, a very significant portion of them believes that they are. In fact, their primary secular organization in the U.S. and Canada (once the Ukrainians took over fraternal societies such as the Little Russian/Rusyn National Union aka Ukrainian National Association), the Lemko Association of the U.S. and Canada, published its newspaper called
Karpatska Rus' and its almanac called
Karpatorusskij kalendar' Lemko-Sojuza. Lemko organizations in Poland today including
Stovaryshynja Lemkiv,
Ansembl' Pisni i Tancja 'Kychera', and
Stovaryshynja 'Ruska Bursa' are integral members of or participants in the World Congress of Rusyns, the Biennale of Lemko/Rusyn Culture in Krynica, and other events of the Carpatho-Rusyn community.
And at least 1/3 of the about 1,800 members of the U.S.-based Carpatho-Rusyn Society have Lemko ancestry from Galicia.