The "Wild" horse thing is an issue that we face in my area as well.
I put the word wild in quotes because that is what they are reffered to around here, but clearly they are not "wild" but ferral as others have mentioned in previous posts.
Their is a band of these horses that live in the foothills west of me. I have seen them on a couple occasions and I will fully admit that they are a beautiful sight. Clearly they seem to be finding enough feed since they have always looked to be in good shape, the times I have seen them atleast.
I am a horse lover for sure, my family has always raised horses and I grew up with a horse and still keep a saddle horse, I ride as often as I can, it's a passion of mine. However, these horses have been an absolute nuisance for those that try to farm and ranch in the area, they have no respect for fences, they deplete forage sources for domestic livestock etc. Also, naturally 1/2 of these horses are studs and all of them are intact! So if your domestic mare happens to come into heat, look out! Some people have also lost domestic horses when the "wildies" come and break down fences and your horse ends up running with them, very difficult to get back!
Every now and then, there are headlines in the paper that somebody has found some of these horses that have been shot somewhere out in the woods and it's a big sad story. I can't say I blame people for dealing with a problem that can really impact them that way. After all, these horses are Ferral and not wild at all, or atleast not indigenous, they were never meant to be there in the first place. I see little difference in dealing with this problem then I do Austrailians dealing with Cane Toads or rabbits.
An introduced species runamuck!