Um, thanks to a Sprint commercial most people now associated that phrase with someone acting on emotion but actually simply cutting off their nose to spite their face.
In the ad a big Manhattan executive is a Central Park highrise telling his asistant that he made his phone decision because he wanted to "Stick it to 'The Man'." The assistant then notes, "But you are 'The Man.' So aren't you sticking it to yourself?" At which point it hits him, and the embarassed exec mumbles, "Well, maybe."
So yes, your quote is (unintentionally) quite fitting.
I don't watch much TV and when I do I try to avoid commercials. I've heard this phrase used for decades. I meant it to mean exactly what it does. The establishment was never behind her, I like her, I voted for her, I "stuck it to the man".
The RNC better give her their full support if she wins.