Sitting in Distraction

Nowadays, it's easy for people to become distracted by so many things, because there is a market for being connected. But I wonder if, rather than trying to get rid of distractions, one can stop for a moment and know what it is like to just sit within the clutter of the mind, with all its internal imperatives and chatter. Perhaps this is somewhat similar to what happens when we sit in a room that is not entirely clean: there is a sense that one can do something about it, but instead one sits with the awareness of it instead.
   The reason I am thinking of this idea is that very often trying to get rid of distractions in meditation is actually itself a kind of distraction. It's no sooner that I think that I should be rid of wandering thoughts and scattered mind that this itself leads to, "I wish that this moment were completely free of thinking", or "I wonder if I can reach the next jhana in practice". Instead, is it possible for the mind to simply know of its own distractions and to simply be clear about the distractions? It seems that this true clarity is itself a kind of antidote to distraction because it takes away the attractiveness of distractions themselves. At that moment, I am not focused on the actual object of the distraction, but instead experience the totality of both the objects and the total awareness that envelops the object, as a single encompassing experience. What I experience is no longer a solid self that seizes the attraction and deems it desirable, but rather a series of different thoughts which arise and perish without interaction with each other. And in doing so, I experience less of the hook of objects, because I am more cognizant that the object is only one aspect of an aggregated experience.