Both expressions are used and the -ist suffix is also to indicate someone who advocates a belief, as in this case:
- an advocate of secularism; someone who believes that religion should be excluded from government and education.
(The Free Dictionary)
Secularist is also an adjective so toTo avoid confusion I used the expression secularists are whose usage appear to be increasing:
Ngram: secular person vs secularist is vs secularists are