Not because they don't want people of other races to vote because they don't like their race. Rather they want to make it harder for certain ethnic groups to vote because its almost a given they will vote for candidates they oppose.
I have a friend who privately acknowledged to me he supports efforts to make it difficult for certain minorities to vote because as he calls it, "a quick [political] death" would occur that would essentially permanently end the election our party to national office. He thinks however if the political opposition is kept from having total dominance by any means including making it difficult for certain ethnic groups vote, hopefully a political rock star with a charismatic personality will eventually arise and give our party a much needed reinvigoration. This provided we can maintain plausible deniability this has been a strategy.
His support for efforts to make it hard for people of some ethnic groups to vote is not driven by dislike for their race. He has no problem with different races. He just wants his political team to not become extinct. If they voted for his political team he would be all about helping them vote. He also firmly believes if shoe was on the other foot, he thinks his opposition party would take his exact position.
BTW: I don't think my friend has a racist bone in his body but like a lot of people when it comes to politics, is severely lacking in principle.