Since they said "mass" and "priest", I'm guessing they're talking about a catholic church. I have been to a lot of catholic masses, and if my experience is anything like other people's experience, catholic priests seem to actively avoid political statements in their sermons. I'm sure political priests are out there, but I've been to a lot of different catholic churches all over america as a kid, and I never heard a political sermon.
Almost always, sermons are either about the specific bible passages for that day, or they're a story that the priest heard, or they're about a moral dilemma that the priest observed somewhere or made up, or they want you to donate money to something, and so the sermon is about how good that thing is or will be.
It wasn't until recently, when I was forced to watch some catholic masses on the internet, that I ever remember seeing any political sermons. And they were from a priest I think called Chris Alar, who also said that his family all advised him not to become a priest. When he told that story, I think he was implying that his family all thought he was far too stupid to get people to listen to him. But anyways, he talks a lot about politics and even argues with YouTube comments to his previous sermons during his sermon. He truly comes off like a pompous idiot, at least to me.
I finally got my mother to watch the priest I think called Mike Schmidt instead, who seems to give the typical catholic sermons that I grew up with.
Sorry for the detour, but my point is that I suspect the odds are good that this priest didn't actually say "ICE." He probably just talked about treating immigrants in the way that the Bible tells you to. I think it's this thing with bigots that when they hear somebody talking about bigotry in general, they somehow hear it like they were mentioned by name.