LA-610 pre/comp - skip this and get a Neve based preamp. The reason I say this is because once you plug into the LA2A below, you will have all the warmth you need. I would suggest a Portico 5012 or actual Neve or a clone of a Neve 1073.
LA2A comp - Yes, I have one. It is time saver on getting a top notch track.
1176 - Yes, have one of these too and it's a must for drum tracking and guitar tracking also for emphatic vocalists.
API The Channel Strip pre/comp/eq - Yes, it's the other primary color for tracking for things like snare, and rock vocals.
Shure sm7 - maybe depends on the vocalist. I have one and it gets used for loud singers but that's about it.
Neumann TLM 49 - Ok, not for all vocalists, moving to an AR51, U87 might make you happier. I have one and it needs a good transformer in line to get a decent vocal. This mic into the 5012 into an LA2A has been my best vocal chain sound. I long for a U87.
sE Electronics Reflexion Filter - works great but doesn't reduce ceiling bounce which in a small room is an issue.
The interface recommendation from me is the Lynx Aurora 16. Add a Dangerous 2 buss and you have an ITB and killer OTB solution for hybrid mixing.
Another recommendation would be the following:
Master buss compressor for mixing (SSL clone or Portico 5043)
stereo EQ for the master buss. Great River or a pair of Portico 5033. A bunch of 500 series options as well.