Yes, Pandoc will be the easiest way to do this.
pandoc -f latex -t mediawiki -metadata link-citations --bibliography = bibl.bib --csl = cslstyle.csl test.tex -o test.wiki
--metadata link-citations creates hyperlinks with your text quotes and bibliography. You can remove this part if it is not required.
bibl.bib is the bibliography file you used
cslstyle.csl is the quote style you want. There are many options that can be downloaded from editor.citationstyles.org
test.tex is the file you want to convert from
test.wiki is the output file you want
all files must be in the same folder, otherwise addresses must be specified
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