The primary problem I can foresee is me and my selves conspiring to erase the fact that there are clones for tax purposes. This would lead to a dangerous situation with the tax authorities, if they found out that I faked the death of all my clones. This is assuming that people know about my clones, and they are legal people too, created perhaps because I myself am perfect in all ways. The worst part would be the constant fear of being found out, or that an invited friend would betray our trust. Especially due to our tendency to trust until proven otherwise.
See, if a bunch of people are me, then where lies the notion of autonomy? Separate people need autonomy because they believe different things, and behave differently. If each housemate was myself, then we would work together and not care about benefiting from the other's successes or not. Because being the same person, all success is mutually shared. Maybe this doesn't make sense at all, but I think it does. I think chores and that kind of thing would be done well. Labor is much more efficient split between people, plus we would organize taking turns so nothing gets boring. The extra mouths of course would need food, but after faking deaths, only one of us could work at a time. However, that allows us much power, as multiple people can go longer working than one. Especially when it comes to me, I get really worn out fast.
Basically, I think we would excel at working together and taking advantage of the system. Until we get caught, that is. Which is inevitable, because keeping track of several wandering minds with a poor sense of custom and environmental awareness would only lead to ruin.
We would be very powerful, but just as short-sighted.