The Rufous-sided Towhee was split into the Eastern Towhee (your expected species) and the Spotted Towhee (the western species). Neither have white over the eye and, as far as I know, they don't gather in flocks on lawns.
I have a few questions:
Is that white marking over the eyes on all birds?
How many of these birds are there?
What is their feeding behavior (hopping and stopping, flying down from trees to the ground and back up, constant pecking on the ground, scratching in the leaves)?
What is their posture (upright or more horizontal)?