I would not think that these mushrooms are going to make a big impact on the plant itself. However, do realize that they are indeed consuming many of the nutrients that are in the soil. . . but then again, it breaks them up, and the plant can have some that may be left over.
The only real way to get rid of the mushrooms plus the mycelium, is by "cooking" the dirt (i used to bake my dirt in an oven, to kill any mushroom pores). I have actually done this in the past, as I have a background on mycology (the cultivation of mushrooms). You may go crazy plucking out mushrooms all season, but the fact is mycelium is already healthy and vigorous under the dirt.
As long as you do not see the plant being affected I would just leave it alone.
If you think that the plant is or may be affected, then you must take out as much of the dirt as possible, and bake it. This may indeed be too much trouble for you to go through....
As far as edible mushrooms: NEVER EAT MUSHROOMS YOU DO NOT RECOGNIZE. In the Mycology community (which is huge) we never ever recommend that you eat any wild mushrooms, unless you purposely grew them, or you are a one of those individuals who do indeed forage for edible mushrooms. However, it takes some good amount of time to research, know how to find and recognize, mushrooms...
Even I, with some experience in growing and recognizing mushrooms have never dared eat something I found was edible.... I rather grow it....
I guess I am a scary cat... :)
Good luck
Picture of what Mycelium looks like.... under the dirt.... it usually travels further down and around...

Jerry