Beginning with ProPresenter 6 for Mac, and now with ProPresenter 7 (for both platforms), Renewed Vision has made live streaming a focus of their efforts. In the past, there were hacks you needed to do to get video out of Pro6 and into an encoder if you wanted an alternate format that was better for your online congregation.
Thankfully, today, that's not necessary. ProPresenter 7 can capture live video from multiple sources, overlay an alternate layout of lyrics (or sermon notes, etc.), and even encode it for live streaming.