A 6.1 is an easy physical bolt in. Hell, if you swap the stock 5.7 top end over all you need after is a custom tune to run it. People have been doing that for years. Keeping the 6.1 heads gets you port mismatch. If you leave the 6.1 bone stock, that's 420 lb-ft....stock eagle 5.7 is 409 ft-lb (not much less) and RFE's were behind those from 2009 to 2012. Once you start trying to hot rod one is where that trans is gonna go out the window lol. A problem I will be facing in the near future.
Newer Rams have it easy. Got a 5.7 hooked to an 8HP70? Sweet, grab that SRT 392 and straight drop it in because everything bolts and matches right up and all you need is tune, plus you don't have to worry about the trans blowing up on you. Lucky ******** lol.