If we disregard everything else and go by logic alone, arranged marriages have been shown to work. When society as a whole considers marriage itself to be a healthy concept, being married is in and of itself seen as a positive thing, and people getting married will be happy. It has been shown that arranged marriages are much likely to collapse than non-arranged ones, and the children of these situations generally come out without problems.
The thing that you have to ask yourself is this: is the purpose of all things to do the most logical thing, or are there some situations we want to look at other factors? Even in the present day, we still have healthy marriages born of compatibility, and children being born from those relationships into the most successful of households.
It's not arranged marriages or non-arranged marriages that's the problem in society today, it's the fact that people can get divorced and the only one who suffers are the man and children, with the woman coming out better than before. In this sort of environment, obviously there's going to be spur of the moment relationships that devolve. The other factor is independence. In the past, even without arranged marriages, a young girl would at least remain under the watch of her father, who would be able to vet potential men. Nowadays, women are sent off away from their parents to college and elsewhere. They still wish to reproduce, and have sexual urges, but they're not in a relationship. This leads to the so-called cock carousel, and only the most religious girls from the best households come out of their independent youth not fucked from it.
The same goes for men. No matter how you look at it, the guy who sleeps with a different girl every week in his college years is just as degenerate as the girl who sleeps with him. Because, once again, in the past, the father of the girl would be able to drive off any random guys rutting around, and the fathers of those boys would be able to keep them aimed in specific directions. But instead, they're both let loose on their own.
This same sort of independence is what led to the devolution of modern fraternal culture in colleges. What used to in the old days be gathering of young men is nowadays a cesspool of STDs, drugs, and alcohol, because of how those values have slipped away over time. And since there is no such thing as a "coming of age" ceremony in the modern day, these systems become the surrogates, producing immature children. There's virtually no such thing as adult men and women in the world today as a result.
At this point in time, arranged marriages won't fix anything. We need a full on cultural turnover and a much wider spread of laws, particularly targeted at divorces. Reversing the effects of liberal education is going to take much more time.
You just went full retard.