Your gun rights credentials are thin at best.
Simple question, is the fact I have to spend $400 or so and wait 3-6 months in NYC simply to get a home use revolver license infringement or not?
Depends.
If they are taking that time and to make sure you aren't a nutcase or a criminal, then it's not an infringement at all.
If they are just taking that money and time because they can... or to make the process so difficult you give up, you might have a point.