I am pleased to inform you that when the election voting begins, the order will be randomized. That applies to both the primary (if we end up having one) and the final election. Source: this MSE FAQ.
Nominations are shown in chronological order with the newest at the top. This makes some sense; it makes it easier to find any new candidates one might not have read about yet. Since there's no voting in the nomination stage, the deterministic ordering shouldn't be a problem.
The questionnaire answers are by default ordered by votes, which could conceivably influence choices. As mentioned in Monica Cellio's answer to the MSE question linked by M.A.R. in the comments, it is encouraged that candidates link their questionnaire answers in their nominations. The inbox notification that goes out to potential voters links to the election page, where the candidates (and therefore the links to their answers) will be found in random order, at least partially mitigating the issue.
I do agree that it would be neat to have a magic tag that causes random ordering of answers, kind of like how community-ads causes the answer text box to be prefilled with the community ads template. That would be an almost client-side-only change, but would still take a bit of developer time.