It is unlikely that in the foreseeable future it will be possible to exclude horse racing from the types of sports competitions.  As well as camel racing in some Middle Eastern countries.  All these events are so traditional, have lasted for centuries and even millennia and literally constitute an integral element of the national culture. 
For example, in England it is even impossible to imagine that the British would refuse such competitions.  So unfortunately no animal advocates are able to cope with this task. 
And horse, and, by the way, camels, too, and so will continue to die during the race and after them.