For this topic I think you have to take a look at the competition elsewhere to make a good decision as to what to do with Jerishow, and the tag titles. By this I mean you need to take a look at another product that technically has a better tag team division, meaning TNA.
One thing that WWE has to maintain is it's superiority or perceived superiority. I think TNA has better teams, primarily Beer Money Inc. or MCMG. However putting two great superstars together to make a team creates that superiority, meaning Big Show and Jericho. Because they separately are better than anyone on TNA, they as a team are better than any team on TNA, and you have to stay better than the competition. So, if you are going to break up Jerishow than you need a replacement that is credible enough that you can say "These guys are definitely better than Beer Money Inc. or MCMG." That's a really tall order from where I am sitting and I am not sure that aside from Jerishow the WWE has a better tag team.
You can make an argument for DX, but I don't think they are really the team you want to put the straps on, simply because they don't need them to be over, and it doesn't really serve a real purpose because they are a here-one-day-gone-the-next tag team, so it has to be a real tag team who gets the belts.
I would think that Crime Tyme would be the best candidates. They are a solid tag team, over with the crowd, and they have never held the titles. They are definitely deserving of a run. Also, I could see them being competitive against either Beer Money Inc. or MCMG which I am using as the measuring stick for this topic.
Your next best option in my view would be Legacy for obvious reasons. They have been together for a while, and proven countless times that they are a very effective tag team, and have held the titles. This could also stir up a little jealousy with Randy Orton as he would be without any gold, and DiBiase and Rhodes would have the tag titles making it look like they have outgrown Randy Orton, and no longer need him for their success. And once again this is a WWE tag team I could see competing against MCMG or Beer Money Inc. Let's not forget the root of the subject as I have laid it out. Any WWE tag team at this point has to be better than any TNA tag team to maintain it's credibility in that division and dominance overall.
The Hart Dynasty would be ok with me if they ever won anything, but they are basically buried week in and week out, so it would be hard to make them look legit when everyone has beaten them countless times.
I like Tyson Kidd's ring work, I think he is very similar to Bret Hart if you pay attention, but D.H. Smith is what kills it to me. He just seems like the weak link in the chain. He is not very impressive at anything I have seen him do. He doesn't really have the look either. I understand that he is a necessary part of the team as he is apart of the Hart lineage but I see him as the part of the team holding them back in some ways. Until he improves, the team can't improve. The big thing that I think makes them a little special though is the fact that they have a manager in Natalya. Tag Teams used to have managers but not so much anymore. I think having one in some ways makes them a little more like an old school legit tag team, and could be one of the things that gets them over the hump so to speak. As far as them comparing to MCMG or Beer Money Inc. I think that my prior statements hold true. If D.H. Smith were more of a factor I would say they are on par with them. But having Tyson Kidd basically carrying the team gives the edge to TNA when it comes to them.
The Worlds Strongest Tag Team is cool to me. I like Mark Henry as a face, and I like M.V.P in general so having him with Henry makes a pretty good team in my view. I could see them dominating Beer Money Inc. due to size and strength on both mens parts, but I think MCMG would out work them and prove to be too fast, too high flying, and too in sync for them. The power and strength would be neutralized by the attributes of the MCMG and ultimately prove to be too much for The Worlds Stronger Tag Team.
I think that Jerishow is definitely on the way out, as Big Show does need a knee surgery, and is likely going to be getting it done soon. So maybe DX will win at this next PPV and act as transitional tag team champions to hand them to someone else, and who would be more obvious than Legacy to take them, considering the history?