Latest:
I was having some problems with shooting weapons (lag, missed firing and let's just say general unpleasantness). I disabled the FOV adjustment and using JSawyer Ultimate's ironsight zoom disable it seems like it works much better. I'm no modding expert, I could be wrong (weaker computer or who knows), but as far as I can tell it's working better. If you are satisfied with it, great. As well, the armor weight stuff in this mod is not all that good.

Small Update Plus Some:
Corrected mistake with regards to OOV and the mod should work 100% as intended (the FOV part anyway).
Made a few weapons not change FOV if you are using Optics Of New Vegas (Anti-Materiel, Marksman Carbine, Sniper Rifle). It's just a script override not affecting anything else.

UPDATE:
Made a small change, it should work with Optics Of New Vegas. It's possible for the Weapon Mod Menu to glitch after changing the FOV settings. Save after changing the settings, restart the game and it should work just fine. It seems Realtime Weapon Modding System doesn't have that problem.
Upped the FOV limit to 180, to fall in line with FOV Slider.
Increments of 1 instead of 5 for the weight sliders.

Unscoped weapon iron sight FOV adjustment, based on category:

• Pistols (energy and normal) & light submachine guns (9mm, 10mm)
• Shotguns (should cover automatics as well, though the original game doesn't have any)
• Single-shot weapons (BB Gun, Cowboy Repeater, Laser Rifle, Service Rifle etc.)
• Automatic weapons (Assault Carbine, Laser RCW, Light Machine Gun) & heavy submachine guns (.45, 12.7mm)
• Big guns (Incinerator, Miniguns, Missile Launcher)
• Thrown weapons (grenades, dynamite, spears etc.)
  

FOV values can be set from 0 to 120. FOV adjustment can be disabled for any category by setting the value to 0, so that the default weapon FOV is used. Setting the value to the normal gameplay FOV disables the zoom. Higher values also work.
The FOV value for thrown weapons works if you holding Project Nevada's grenade key and pressing the aim key at the same time.
It works with weapons from mods too.

Only applies FOV adjustment to weapons that don't have scopes at all or have it from a mod but not applied.
It does not break Project Nevada's adjustable zoom or the zoom of weapon scope mods.
It works in 3rd person view.

Carry weight boost from equipped armors:

• Standard armor and clothing (from 0% to 200% - default 50%)
  

• Power armors (from 0% to 500% - default 100%)
  

Helmet weight is dependent on the type of armor. It should cover all types and combinations of headgear (masks, collar, hats etc.), but I can't be 100% sure I got all the combinations, especially if they come from mods other than Project Nevada.
After equipping any outfit item it takes a second in-game (not in the inventory) for their weight to be recalculated.
It should cover all the human companions from the main game and the DLCs, and the changes to their carry weight should be removed when you disable the Companion Armor Weight.
It removes the carry weight bonus from perks & implants (PN implant carry weight boost comes as a perk), so you will have to set the Companion and Player Carry Weight Bonuses to the total carry weight bonus added by perks & implants. The extra bonus sticks after you disable the armor carry weight bonuses, which need to be enabled if you want to change the bonus carry weight.


You can also disable the right-click zoom when you don't have a weapon drawn.

Everything can be configured, but when you first start the mod none of the options are enabled.

Compatibility:
Pretty much everything this mod does is most likely incompatible with Powered Power Armor's weapon FOV & right-click zoom changes. The armor weight bonus also conflicts with the TRO (Thermal Regulation Override) carry weight bonus, since they both use "player.ModAV carryweight".
If you have used the "player.ModAV carryweight" console command (or another mod uses it) it will be reset by the armor weight bonus. If a mod alters carry weight without showing it as an effect in the Pip-Boy status screen it probably uses this function.

Incompatible with mods that alter unscoped weapon FOV/zoom through scripts, though I haven't seen many that do that.

Issues:
It's possible that with extremely high FPS (probably way over 100) it will first zoom (not all the way) for a short period of time to the default weapon FOV before applying the mod's FOV, but I tested it at 100 FPS with a weapon FOV of 90 (same as my gameplay FOV) and it didn't happen at all. If it happens to you let me know.
It's possible for the Weapon Mod Menu to glitch after changing the FOV settings. Save after changing the settings, restart the game and it should work just fine.

Install/Uninstall:
Install with a mod manager or manually. Load order doesn't really matter. You only need the main file, the PN patch was made redundant by the extra weight sliders.
It requires NVSE, MCM, Dead Money and Honest Hearts.

To uninstall, first be sure that the extra weight bonuses for player and companions are set to whatever perks add, reduce the armor weight bonuses to zero, exit the MCM and wait a few seconds for the changes to apply.
After, disable whatever features you activated and wait for a few seconds to make sure the armor weight bonus is removed and that you can right-click zoom before saving the game and exiting.