I have the desire for the internet to continue existing in some form, as I perceive value in being able to communicate like we are on this forum, and in the ability to share information with one another in many ways without the necessity of geographical closeness.
However, there are many undesirable attributes of the internet to me, including the resources required to keep it going in the manner it's run now. So, I'd prefer to see some scaled down version of it (perhaps it would be more regional, for example).
As far as phones, I've never owned a cell phone and never will, but I would prefer to see land lines continuing to exist. But the question of how and in what form land lines could be maintained in a world without (or with increasingly failing) hierarchy is something I don't have enough technical details about to provide a satisfactory answer.
I'd still be content if no form of internet or phones existed, as I realize that the hierarchies and forms of domination that currently exist to produce this "communications" network are undesirable. I do see the possibility of creating some sort of networks without hierarchy, but there are so many obstacles in the way and so many differing ways of thinking that would have to exist to make this a reality, that I don't hold out much hope for it.
I agree with dot's observations about how, generally speaking, these devices of supposed "connection" actually serve to drive us further apart and reduce intimacy and co-operation in our lives. That's one reason why I've never had a cell phone and use the internet for only a narrow range of applications.
So, no to the internet and phones as they are, but yes to having them in some re-imagined way that would be consistent with anarchy - how possible or how likely that is to occur - I don't have the answer.
edited for grammatical errors (but there are probably more, sorry)