Simply put, no. Here's why.
The Four Horsemen are, without a doubt, the stable that defined professional wrestling. They dominated wherever they were. They were dirty heels, but they had an aura of class about them, too. In that era, a group like that worked. They were similar in character (which was pretty basic in those days), but the reason they were linked together in the first place was because of friendship and respect for the business. As the years went on, members came and went b/c of business decisions within NWA and WCW, and some of those members were questionable, but the Horsemen mythos always carried the same ideal.
Also, like all the others before me have said, the Four Horsemen would not be possible unless Ric Flair was a part of it. I know Arn's working for WWE right now, and including him would give it legitimacy in some regards. Arn is one of my favorite wrestlers of all time. However, Arn was never the focal point of the Horsemen. He was "The Enforcer," the muscle, the backup, the glue that held it together. Flair was the face of the Horsemen. He was the champ. He was the one that the others revolved around. In this age of wrestling, if you're not a champ or in a championship angle or a well-established character, you're pretty much ignored.
When any wrestling fan thinks of the Horsemen, who's the first person they think of - Flair, or Arn. Flair was always the mouthpiece, even with J.J. Dillon was their manager. I didn't mind the revival in the 90s (minus putting Steve McMichael in the group *shudders*). Even when Flair was gone, they brought him back when they reformed the Horsemen. Any reincarnation would have to include Flair as the mouthpiece. But, Flair's in TNA right now. So, your idea isn't happening. I think even WWE respects that fact and wouldn't dare tread on the Horsemen legacy by forming a faction and calling it the Horsemen w/o Flair involved (especially since Arn is with WWE now. He would definitely have a say in it, I believe). Respect tradition, and don't slap a name with that much tradition and history on just any group of wrestlers.
Yes, the four guys that you mentioned could pull off a stable, and it may be pretty successful. But not right now. None of them are ready for that. Miz is riding high and building his persona. Riley's got potential and is tagging along. Kidd needs more time to get away from the Hart Dynasty angle (jumping quick from one stable to another decreases legitimacy IMO), and Kidd's new muscle guy just got here. Give them some time to establish themselves before you lump them into a stable where someone gets lost in the shuffle. If they do put them or anyone else in a four-man stable, don't dare call it The Four Horsemen w/o Flair. I would lose a lot of respect for WWE if they did that.