Brees asks mother to pull his image from her political ads

I would assume that he just doesn't want to be politically affiliated, just like most other athletes. Politics is very devisive and that's not really something that you want from your team leader. It's just one more distraction.

Maybe I'm just thinking too much...

I would guess it stems more from his relationship with his mother than anything else.

As for politics and athletes/team leader: Didn't Tom Brady participate in a bunch of Republican national fundraisers a few years ago?