Since this is a western audience being targeted, there's going to be a lot of people potentially upset at the lack of more PvP options (I, myself, am not very big on PvP. So I couldn't care less.) I'm making this thread in anticipation of these who like PvP a lot more than me, and will give out some suggestions that some might want to give.
Point Capture - Attack and Defense
I'd like to suggest making a point capture PvP Mode where one team goes against another to capture points. When a point is captured, the point becomes locked, and the attacking team has to push to the next point then eventually to a final point where the round ends when it's captured. Once the round ends, the teams are swapped between attack and defense. (IE: The team that was on attack, now goes to defense, and vice versa.
Point Capture - Territory
This type of point capture can last a long time in comparison to the previous suggestion. However, first, I'd like to explain how this works. There are two sets of points close to each team's base, one close to their spawn, and one farther in. In addition, there's one point in the exact middle of the PvP map as well, making 5 points to capture in total. When a point is captured/flipped, time is added to the round/match's timer, extending the amount of time the current round has. Once the timer ends, however, the team with the most points captured wins. (If all points are captured by one team, they also win at that time too.) Unlike the previous mode, points can be captured by the opposing team even if they're already captured by you. When a point that's further from your base is captured by you, the closer points will lock and become unable to be captured until a point closer is captured.
Frontline / War Game / Battlefield
In this PvP Mode, lots of players (48+) compete in an "Alliance" team battle where multiple parties work together to defeat the other factions that are not their own. Each Faction has a set number of players working for them. (IE: 12 v. 12 v. 12, or 32 v. 32 v. 32.) In this mode, players can defeat one another to gain points, while taking away points from the faction that player was from. Certain objectives will appear from time to time (IE: Emergency Code Destroy) where you can destroy PvE targets to gain a mass amount of points for your faction. When the maximum amount of points is reached (IE: 1200/1200) for a faction, the faction wins. Or, if time runs out, the faction with the most points wins. If a draw between two factions occurs, they are tied for that place. IE: If two factions have the same amount of points in first place, both factions get first place rewards. Leaving this mode early should incur a penalty where you cannot rejoin matching for a set period of time. (IE: 30 minutes.)
This specific type of PvP Mode (below), I'm definitely not into. Open World PvP / Forced PvP was never my liking. So having this as a setting that's off by default would make more sense.
Emergency Code: Abyss Invasion
This Emergency Code's color would be red. Invading Players are synced down to the level of the defending player's.
In this, players would be able to invade other player's arks missions (Exploration mode is exempt, as it is an open mode where multiple players are present.) A setting when making the arks mission will be available to allow players to invade your arks mission and potentially defeat you for PvP Currency/etc. By default, the Invasion option will be off so that players can still enjoy the game in peace. The invading player will be teleported to the starting point, and the map/area transition will be locked until the player invading is defeated or the defending player is defeated by the invader.
Players could expect rewards, such as titles (For doing certain things in PvP) and a special PvP Currency. The PvP currency could be used to buy special camo-only items in the form of outfits and weapon camos. (Stats for the items would be 1 or nothing at all, meaning they're specifically meant for camo.)
A special type of "Season" Rank Rewards can also be given out. For attaining and holding a rank above a certain number, players would be given a special Season Camo item or mag evolution. The item would not be obtainable again unless the season-specific rewards are re-rotated through. Players must hold the rank during the entire season until the season ends.