You have now.
Apparently the experience of running three Sunday services is different at our church than at the ones you've been going to. There is no reason for you to accuse an honorable man of lying simply because he won't force over a hundred volunteers and a bunch of cops to leave their families on Christmas morning.
We use 3 cops, 4 or 5 contract shuttle bus drivers, run 3 services (only 2 Christmas day), and we are in an urban location, so it sounds like things compare. If we don't have enough ushers, we'll grab some folks out of the pews to help. If the organist isn't there, we have members who can play the piano. Some of the folks who normally volunteer in the preschool area will help fill in for the nursery. If the choir isn't there, the congregation will sing. If there is no assistant pastor, one of the church officers can do the prayer before the offering. And if the senior pastor didn't want to be there, one of the young assistants would probably jump at the chance to get some pulpit time.
And if turnout is really light, we'll block off some rows to get folks closer together and close off the overflow rooms.
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If the pastor thinks the turnout is really going to be that light, there shouldn't need to be as many folks to help as normal. He could have a service with him preaching, someone to lead congregational singing, someone to play the piano. A couple of guys to start the plates around. Preset the sound system the night before with a couple of active mikes - one for the pulpit, and one for the piano. You'd still need some cops (no atheist, jewish, or cops of other faiths in the area willing to make some overtime?) and a couple of greeters. With a low turnout, parking should resolve itself.