It's my understanding that a cloudy stock is actually not a problem or undesirable save for aesthetics, especially a common concern with regards to classic French and various Asian cuisines. In particular, if you want to have a perfectly clear soup your initial stock should be clear. On the contrary, going so far as to get a perfectly clear stock is a trade off that can actually lose some flavor, particularly if your stock cooks for a (relatively) shorter length of time. If, however, your stock cooks for a longer time you might be introducing undesirable flavors by including these.
There are also a number of dishes where having it impart a muted background flavor is desired, generally when one would prefer a white stock to brown or with regards to most fish based stocks, and is another reason that a clear stock can be desirable.
My main concerns with your intended process would be in the stress incurred on the food processor, accidentally leaving in bone, not getting things broken down fine enough for the texture to be desirable, or adding an unpleasant texture and taste with waterlogged skin.
My instinct would be to leave the skin out entirely, but to save the marrow and break it down with a good knife, working it in a similar manner to making your own minced beef or garlic paste, then pass it through a very fine sieve, helping it along with a rubber spatula and by pouring over some of your stock. This should help ensure that the resulting stock is more homogenous, free of any accidentally introduced bone, and that the added marrow more readily suspends in the stock. You could try including the meat using the same process as well, but I don't think it would break down as readily as desired so might leave the meat out.
If keeping things low waste matters to you, I would suggest lightly roasting or pan frying the skin to lightly crisp it before breaking it down. If the meat does not break down cleanly, this could perhaps be a good use for the food processor. I would add a very small amount of the stock and the meat into the food processor, enough to help it come together smoothly. In this case you could also reserve the bones for a second stock or to add to a garden bed. For details with processing for a garden, check here.
To know definitively what combination of ingredients should be retained for the best results, I would suggest you break a portion of each down as finely as possible, keeping them separate, and mix them each individually with a small quantity of your stock to see what individual characteristics they provide before deciding which ones to include.