@melissadancey That's not how temporal adjustments are done. You don't try to convince anyone of anything. You make calculated changes yourself (in conjunction with your team and appropriate approvals) to adjust the timeline. Usually, you keep your own presence as minimal as possible to avoid uncalculated variations. Calculated changes can be extremely small -- we call them MNCs -- Minimum Necessary Changes. These can be as simple as moving a can a few inches on a shelf. I'm not at liberty to go into more detail about this.
The butterfly effect is a bitch. It's basically impossible to interact with the timeline before your birth without keeping yourself from being born. In _A Sound of Thunder_... after the first trip to the Cretaceous humanity would never have evolved.
I think Charlie Stross's "Palimpsest" is the only novel I can recall that takes this seriously.