We can help by emailing notification of it to our email address books, pinging it on FR and other forums, and then asking others (on our email lists, on the forums, etc.) to do the same.
That's what happened on the "Depict the flag raising at the WTC the way it actually occurred" petition. Using FR as a base, it quickly spread and garnered 300,000 signatures in a few weeks amd definitely impacted the oputcome and decision in that particular case.
And it hasn't stopped. To this day it gathers signatures. It is now over 422,000.