Does it say "Endorsed By The Republican Party" or "Endorsed By The Conservative Party?"
No, it does not.
I just see the word "Endorsed." (In fact, Pilato is endorsed by the Conservative Party.)
There is also one reference to "conservative" and one reference to "republican."
Those words are in lower case and here are the definitions of those words:
Does someone have a problem with that Facebook post?re·pub·li·can
noun
1.
a person advocating or supporting republican government.
"those who favored the continuance of the republic made every effort to defeat the monarchists and to have republicans elected in their places"
2.
a member or supporter of the Republican Party.
con·serv·a·tive
adjective
1.
averse to change or innovation and holding traditional values.
noun
1.
a person who is averse to change and holds traditional values.
Pilato does hold republican and conservative values and philosophies; so what?
It is not like a decades-long tax and spend liberal calling himself a conservative, eh?
Play stupid games, win stupid prizes.