This will not include a low profile Picatinny mount.
It will not fit without an adapter. The P320 AXG Scorpion is machined to accept a Romeo1 PRO or Leupold Delta Point PRO. To install an RMR-pattern red dot like the Holosun 407/507 models requires an adapter that changes the mounting pattern of your slide.
The Holosun Exclusive Holosun 507 Red Dot Reflex Sight at the link below has a green illuminated reticle. That model also uses the ACSS reticle. It is model number HE507C-GR-X2-ACSS.
https://www.opticsplanet.com/holosun-he507c-x2-acss-pistol-green-dot-sight.html
The Sig Sauer P322 uses the Shield RMSc optic cut. This Holosun 507c uses a Trijicon RMR mounting fooprint. The RMR footprint is a much larger, full size optic footprint compared to the Shield RMSc. You would only be able to use micro optics such as the Sig Romeo Zero, Shield RMSc, and Sig Romeo Zero Elite.
The Holosun HS507C-X2 Reflex Red Dot Sight comes with a picatinny rail mount. So the Holosun HS507C-X2 Reflex Red Dot Sight can be mounted to a Mossberg 940 Tactical if it has a picatinny rail on the receiver.
This product includes a low profile Picatinny mount.
Yes, this will work on your FNX Tactical 45 using the supplied plates that came with your pistol. You would need to use the RMR footprint plate. As for which model is best, that is completely subjective. This one has the 3 reticle options with the solar failsafe, which is very versatile.
The 507k x2 is a better choice. It is made to fit the Sig P365XL. This one is pretty wide and would need a separate adapter plate, assuming one is available.
Here's a link to a variety of 45 degree and Picatinny side mounts that will work for that sight, which uses an RMR footprint. You have a top quality and expensive shotgun, you have great taste. If you want a side mount with that same quality you can choose from this link: https://www.opticsplanet.com/s/picatinny-45-degree-side-mount . Trijicon makes one and it's one of the best, but pricey. https://www.opticsplanet.com/trijicon-rmr-45-degree-offset-quick-release-mount.html It has one of the best attachment methods and materials I've used.
The Holosun HS507C-X2 will be compatible with optic ready Colt 1911 Competition model pistols. However, an adapter plate will be required. The correct adapter plate is the Colt 1911 RMR Optics Plate Sku# SP301327, which can be found linked below:
https://www.opticsplanet.com/colt-sp301327-1911-rmr-plate.html