As a hoofstock keeper, I am very much inclined to agree with
@Great Argus. While I appreciate exhibits that try to think outside of the box and try new things -- what you are describing sounds like my own personal Hell
Hoofstock, in general, are usually poor shifters, especially larger groups. They do not like to go where they cannot see what is ahead of them, they do not like being funneled through tight spaces, they do not like being separated from other members of their herd (some facilities will do "separation training" and try to work hoofstock as individuals, but in my professional opinion, you have to be really careful in doing this because it breaks down the natural herd dynamics at play, which can lead to a lot of behavioral and social dynamic issues. I am much more fond of managing hoofstock in and as natural social groupings. This does not mean they cannot be desensitized or trained in any way -- it is just more nuanced. You cannot apply the same ideology used in training carnivores or marine mammals or elephants because hoofstock just do not work the same way.) They are also creatures of habit. As prey animals they are very suspicious of anything novel and of any change in their routine. New spaces can be extremely stressful for these animals and that stress is usually contagious to other prey species. I do not think the animals would adapt well to a lack of routine or really understand what or where they are supposed to go or do, and in many cases, I do not think many of them would shift voluntarily. I think you would be dealing with permanently stressed and high strung animals in this sort of set up, especially with the lechwe, impala, and springbok. The majority of injuries or deaths in hoofstock in human care occur during shifting. Also, in general, the more moving parts and the more complicated a setup is, the more room there is for human error as well.
Something else that will add another level of complexity to this is the different dietary needs of the different species and how you are going to manage that. Equids really should never have free access to pellet or alfalfa. Too rich of a diet can lead to colic, and equids are known to not stop eating when they are satiated, so in a non-controlled environment they are prone to gorging themselves, which can also lead to colic or rapid weight gain. The alfalfa would mostly be a concern if mixed with the giraffe, where alfalfa would be plentifully available; however, the lesser kudu, as browsers, would also require alfalfa over grass hay, as well as a richer pellet. Impala and lechwe could also be supplemented with alfalfa -- the other species would need to be on grass hay to avoid excess weight gain and an overly rich diet. Roan antelope are prone to copper deficiencies and will require a copper enriched pellet.
As far as the mixes go, bontebok seem to, in general, not do well in mixed species habitats. They are almost always held separately. Not only are they irritable, but they are also valuable. Otherwise, some of your biggest issues are going to arise when calves are on the ground or if there is perceived competition over resources. Both
Hippotragus species, both equid species, gemsbok, and wildebeest are all known baby killers, so without massive field exhibits (where even then calves are still lost), you would have to figure how you wanted to manage mothers and calves with the other species. Are you breeding on rotation and housing calving species separately during that period? How are you going to go about reintroducing them to the mixes? Even when older the calves will still be something novel and attract attention. Wildebeest and impala are already seasonal breeders. Bachelor groups are a whole other can of worms because they almost always break down at some point. You can milk them for longer in some species than others, but they will eventually be a problem.
