Right here is Cap's team: Beast, Nova, Agent Carter, Black Widow, War Machine, Valkyrie, Moon Knight and Ant-Man. Steve assembled this team after Civil War (The name Secret Avengers was formed during Civil War, but this team wasn't). This team helped him covertly clean up Osborne's H.A.M.M.E.R. mess.
Nick Fury also assembled a team of Secret Avengers. Not coexisting with Steve's team though.
One of my ideas (I wrote like 15 different versions lololol) was that Steve never wrote the letter to Stark so the symbol of Captain America died with Civil War. When Steve was resurrected, he asked Fury to keep it secret for the time being. His first objective was to find Bucky. He did that and started Secret Avengers with him. It would be Cap's team with Bucky added. A year goes by with Secret Avengers and the team notices Cap is a little out of it. He misses the old team. He started to form a bond with this knew team as well. Bucky then tells him that he should let the Avengers know he is alive and return to them and he would lead the Secret Avengers. Cap's first stop was Wolverine. Logan didn't believe it was him so they ended up fighting, but Logan could smell that it was really Cap. Ironically, the uniform and shield was kept at the X-Mansion. No one would look there and it is well protected. After the X-Men saw Cap and welcomed him back, he was back in the stars and stripes.
On arriving to Avengers Mansion, he runs into the team. They immediately attack him because they think he is a shape shifter. The Avengers at this point were: Iron Man, Thor, Falcon, Black Panther, Hawkeye, Vision, Scarlet Witch, Wasp, Yellow Jacket, Quicksilver, Hulk and Ms Marvel. While they are fighting Cap, he is not attacking. He simply ducked and dodged until they calmed down and figured out. Steve explained in the assembly room in Avengers Mansion that Bucky is leading the Secret Avengers black ops team and that he's been alive for a little over year and that's what he was doing. Shortly after, Natasha returned to the Avengers and Bucky replaced her with Mockingbird.
What do you guys think about Bucky being the Secret Avengers team leader? I know it won't happen, but what would you do if this twist hit the MCU?