It is all about publicity. And, the counter demonstration is precisely what will give them even more publicity.
As obnoxious as this “church” is, the best method of dealing with them is to ignore them completely.
Then they'd show up for sure. Like most rabble rousers, they take the course of least resistance. The larger the counter "protest" the more likely they will either turn tail or not show up at all. Randy'sRight is right - whatever her politics in life, she deserves a silent show of support on her passing.