If Pike makes Kirk look like an aggressive wildcard, Reynolds would make Kirk look like a bank clerk. The running theme in the show would be how, each episode, he barely dodges a court marshal for whatever he did.
Which would cause more mayhem, Malcom Reynolds, just trying to survive, or Katherine Janeway getting coffee?
Edit: also it's Court Martial. As in Martial (Military) Court. The Marshalls aren't coming to arrest you in Starfleet, no guarantee of that in the 'verse I suppose
You should replace the Starfleet badge with a Stargate Battlestar Galactica one.
Edited because I realized the BSG badge would be less obvious and goes in the same place on the uniform. Stargate patches go on the shoulder, not the chest. If you replaced the delta with a lieutenant badge, you'd need a keen eye to notice it.
I was thinking more like they just say it's Star Trek but make the show identical to Firefly.
It was a reference about how Disco wasn't anything like Trek other than they called it Star Trek. A similar thing was done with Foundation and Dirk Gently. It's not like Dirk Gently was bad. I really liked it. But it had absolutely nothing in common with the books.