Using your analogy, imagine the bus driver said "It's my job to keep the kids safe, therefore I'm going to start requiring all the kids to give me their cell phone numbers in case there's an emergency."
Could that be construed as "keeping the kids safe"? Sure, but that wouldn't necessarily make you any more comfortable with the bus driver gaining more intimate access to your children.
I know analogies are never perfect, but another nitpick with this one is that the POTUS holds a position of power and authority that you wouldn't typically have to worry about in your average bus driver, so additional scrutiny into "Just what did he mean by that?" is occasionally warranted.
"My job is to keep Americans safe" is an acceptable justification for limiting solitary confinement. It would not be an acceptable justification for extrajudicial killings.
A school bus driver's job is to get kids from their homes to school and back. If she says her most important job is to keep the kids safe, it doesn't mean that she's not going to do her job! Instead, it means that she'll do her job in such a way that it keeps her safe, and in no way implies a conflict of interest between her job description and safety.