I think Moore starts initially but it doesn't take as long for Fautanu to start as it took for Jones. I'd expect maybe 4 or 5 games with Moore at most before their tackles are Jones and Fautanu.
The easy way of handling Fautanu and Jones should be whoever is more comfortable on the right side goes there - assuming they're both tackles. Which isn't guaranteed. But the comfort level should be the prime factor.
I think the main arguments I'd make are:
1. Fautanu is a mediocre run blocker while Jones is a great run blocker, which may suggest that Jones fits better on RT and Fautanu fits better on LT.
2. Fautanu has never played the blind side tackle position for a QB, which may suggest that Jones fits better on LT and Fautanu fits better on RT.
Honestly, I don't think you can really go wrong either way. Both of these guys are athletic freaks and should still be amazing tackles even if it's not their 'ideal" side.