WordNet sense 1 (a person who has conservative ideas or opinions):

conservativist

WordNet sense 2 (of or belonging to the political or intellectual right):

right

WordNet sense 3 (avoiding excess):

cautious

WordNet sense 4 (being within reasonable or average limits; not excessive or extreme):

moderate, moderate

WordNet sense 5 (unimaginatively conventional):

button-down, buttoned-down

WordNet sense 6 (unimaginative and conformist):

conventional

WordNet sense 7 (old-fashioned and out of date):

unprogressive

WordNet sense 8 (conforming to the standards and conventions of the middle class):

bourgeois, materialistic

WordNet sense 9 (occupying a socioeconomic position intermediate between those of the lower classes and the wealthy):

middle-class