Death battle
It’s super obvious who would win, by simple process of elimination. First, churches exist in adamant opposition to each of the other three, so they’d lose by trying to fight a battle on three fronts. They’re first out of the running.
This leaves pubs, furries, and mcdonalds. Straight away we eliminate another candidate: while pubs and mcdonalds are establishments which have many employees each, furries are individuals. Therefore, in terms of number of troops, pubs and mcdonalds have more than furries, and so no amount of yiffing will save them from their certain demise.
So who wins between the pubs and the mcdonalds? At first it might seem that the pubs would win: while the products from both establishments are fattening, beer will make you violent before it makes you fat and slow, so would produce better soldiers. However, this line of logic fails to take into account one simple thing: scale. America is a much much larger country than the UK, and as such a similar proportional volume of mcdonalds to the volume of pubs means a much much larger number of mcdonalds than pubs. As such, the pubs are outnumbered and the mcdonalds win the death battle. Problem solved.
The analysis made me laugh XD