This description from Know Your Meme[1] is accurate as far as I’ve seen the phrase used:
“Leopards Eating People's Faces Party refers to a parody of regretful voters who vote for cruel and unjust policies (and politicians) and are then surprised when their own lives become worse as a result. It has been commonly used to parody regretful Brexit and Trump voters.”
The parody here is essentially saying that if you supported the Republicans (Leopards Eating People’s Faces Party) and then you ended up being harmed (leopards ate your face) as a result of their policies that are explicit in their intent to harm people (we will eat people’s faces) despite thinking that you wouldn’t be harmed (“I never thought the leopards would eat __my__ face”) then you are a fool.
“Leopards Eating People's Faces Party refers to a parody of regretful voters who vote for cruel and unjust policies (and politicians) and are then surprised when their own lives become worse as a result. It has been commonly used to parody regretful Brexit and Trump voters.”
The parody here is essentially saying that if you supported the Republicans (Leopards Eating People’s Faces Party) and then you ended up being harmed (leopards ate your face) as a result of their policies that are explicit in their intent to harm people (we will eat people’s faces) despite thinking that you wouldn’t be harmed (“I never thought the leopards would eat __my__ face”) then you are a fool.
[1] https://knowyourmeme.com/memes/leopards-eating-peoples-faces...