That's the other thing, I forget if 616 Falcon has the same attachments to the Military that Blue Marvel or Luke Cage have. (in Luke cage's case it would be the SSR project)
Note, I did say by himself.We have already see that Sam has a suit where he fought in a intergalactic space war. So the Street-level excuse doesn't work.
See the dude in Red, with wings--that's Sam. Hardly "street" and while he does operate at the street-level most of the time, there are not limits but the ones placed on him by fans and writers. Here he as a high tech suit that allows him to fight in a intergalactic war. So nothing should stop him from taking on Cap's foes or anyone else--unless the writer limits him to doing so.