Yes, but don’t pronounce it correctly. Nobody says Iulius Kaisar, like they did back in the day.
Not sure why people get picky about Ecclesiastical Latin. It’s just the next stage of the language. Imperial Latin wasn’t the same as Republican Latin either.
And yes people very much still use it. I hear it every week in the traditional Latin Mass—which I just went to this morning. 1500+ years of continuous, unbroken usage.