ok, here is the thing, yes it would work, as long as your dog dosnt get sick from the stomach, but the smell will be terrible... i dont think you will like it, that everytime you watch your plant you will get an odor, like a public bathroom, or some thing like that.

You can buy other similar stuff in the home depot and stuff...

Cow shit, (shit in general) and active Humus, are great for plants because, when you fert it, some times the fert is mineral, and the plant can absorb it, so when you put something like this, youll create bacterias in the soil, wich destroy the mineral fert, and tranform it into a "biological" fert, with the plant can absorb really easyly, making it get thiker and stronger for sure... If you use the shit without any fert, youll get bacterias, and those will consume the "food" of the soil, so you got to convine it with any fert.

Ill recomend you to get a different thing than your dog crap, get some odorless thing man...

If even so you dont care a shit, feed your dog with dogs food, and if possible put some vegetables into its diet...