There is a pretty wide range of opinion on this subject and in my experience, knowledgeable, well intentioned people disagree on this. Incidentally, I spoke with 2 DNR agents just a couple of weeks ago when I had them register a bobcat that I shot on my farm and suffice to say, we had different opinions as to the effect that bobcats have on turkeys in particular. I respect their point of view and I do realize that they are professionals and all, but I also feel like I have had enough first hand observations to question the idea that bobcats don't eat turkeys, etc.
Nevertheless, here are my thoughts on the matter...I believe that bobcat kills are one of the primary limiters of turkey populations, at least on my farm in SE Iowa. (Note - Assuming suitable habitat and sufficient available food, I think that the weather, particularly a wet spring nesting season, is the predominant limiter, but predation is in the top 3 or 4 IMO.) I have seen way too many turkey carcasses on my place over the years and I NEVER found them until there were bobcats in the area. I don't think that coyotes get too many turkeys, some perhaps, but not enough that the population overall will suffer.
I know there are studies that indicate that bobcats only eat small game and birds, etc. There are also seemingly legitimate accounts where 30%-40% of the mortality in a given year can be attributed to bobcats. Do I think that the study showing that bobcats do not prey significantly on turkeys is wrong? Well, I tend to think that this study was only for part of a year. I think the bobcats take more turks in the winter/spring than they do in the summer/fall. That is based on when I have found the most carcasses.
I think bobcats likely get some fawns, but not so many that the deer population is greatly affected. I do know someone that witnessed a bobcat taking down a fawn in the fall a few years back, but I think if that was happening often that we would see more skeletons around than we do. We do normally find one or two dead fawns in June/July each year. That could be coyotes or bobcats, but some get gotten then!