To be on a practical side, "
russian muzhik"
mostly inhabited the areas where there were few Germans, Poles and Jews so his relevance would be somewhat limited.
With the Pale still in place, most of the Jewish population lived in the former Polish territories and in what is now Ukraine. During the RCW most of the pogroms had been conducted by Petlura forces (Ukrainian nationalists) or so-called "greens" (local bands with no political affiliation) who were predominantly Ukrainians (and had history of pogroms going back to the Cossack Wars of the XVII century, period of 1648-49 sometimes referenced as the "holocaust" in which up to 100,000 had been killed
https://www.jewishvirtuallibrary.org/chmielnicki-khmelnitski-bogdan-x00b0). On the top of it approximately 5,000 Jews had been killed by the Volunteer Army (not too many "muzhiks" there) and various Red troops (some "
russian muzhiks" there).
By some accounts in 1918-20 in
Ukraine there were approximately 1,500 pogroms with between 50 and 200,000 killed or died from the wounds and approximately 200,000 wounded or crippled. By another source, breakdown of the pogroms looks as following: 40% - Ukrainian nationalists, 25% - "greens", 17% - Whites, 8.5% - Reds.
https://ru.wikipedia.org/wiki/Еврейские_погромы_во_время_Гражданской_войны_в_России#Общий_обзор
So if Vozhd is controlling Ukraine and the local nationalists, he would have enough of a support base to accomplish a genocide without being atheistic.
Then, look at the Bolshevik practices: the initial mass killings of the "class enemies" (most of them Orthodox) had been conducted by the people who did not yet had time to be subjected to any serious anti-religious propaganda (they started immediately after the October coup and probably even slightly earlier). So why would these " muzhiks" be excessively sensitive about the perceived enemies who belonged to the "wrong" religion?