The patches that are on the preset exchange are from various eras, but the bulb ones are (I believe) from around the P2 era. There's a youtube video of Misha and Nolly playing through them and I believe that's about when it's from. They're cool but the Misha ones are very, very bright in my opinion. The low-mid gain one he posted is pretty great though, and the Nolly patches are both nice in my opinion.
The Jake patches are older, I think, and to my ear are really only for use in a mix; they're heavily shelved on the upper and low ends, and sound very harsh to my ear without accompaniment. They may fit well in the mix though, I'm not sure.
As you will hear from Misha in one of his many statements on the Periphery tone, the magic combo is usually Friedman HBE plus ML audio IRs. If you get the most recent Misha cab pack, use Misha Mix 8; that's apparently the cab they paired with the HBE to get most of the P3 tones. I believe the settings are everything at noon, treble and mid at 6, bright switch on, no boost (surprisingly), gain at 6-7. I find that the ML Fremen IR pack gets you very close to the new Periphery sound as well; blending some of the Fremen IRs with the Misha Mixes will help you tame some of the high end you can get from Misha's cab IRs.
Keep in mind that all of their guitars are at least double tracked, so if you're just jamming at home, you'll find that you miss the boost, but those settings are good for recording because they sound big when stacked and you can keep the gain lower to prevent excess noise.
Another thing to consider is which HBE version you use. I like the 2018 the best, but it's going to vary mostly based on your guitar woods and pickups. I think they used HBE v1 for the P3 recordings, but I'm not 100%.