From a Frumentarii point of view helping the PGs just so they can knock the NCR down is smart, but you'll need to put them both down eventually, since Legion will never ally with the likes of the PGs.
As a Legion recruit you would be picking off their outposts, and for brownie points wipe out the NCRCF. I assume you're playing more foot soldier so this is likely what you'd do. For stealth and more tactical approach you'd do the first suggested idea I said.