Unless you're a scientist or researcher in a field that would be performing research at McMurdo, your best bet is probably to apply for a support position with one of the organizations or parner institutions listed here:
https://www.usap.gov/jobsandopportunities/Though as the blog mentions in an earlier post[0], you may have to re-apply repeatedly over the course of several years.
[0]: https://brr.fyi/posts/basics