3d+Atmos is an awesome av experience. There are several movies that were shot natively in 3d like transformers and prometheus, and tons of movies that have excellent post conversion. You can definitely try older budget 1080p 3d dlp and sony projectors for a couple hundred bucks each before really getting into it.
First and foremost you need oodles of light for a good 3d image. Normal sdr viewing for projection is around 16fl in a dark room. For 3d I found anything under 50fl to be too dim. Was using a w1070 on a 92" 1.0gain screen. For 130" screen you're definitely going to need something bright. DLP performs well due to the pixel response(0.01ms vs 5ms+ for lcd/lcos). But that doesnt mean a sony will look bad. RGB LED DLP will have the best motion/crosstalk performance but they're dim for 3d, though I wonder how much a Barco FL40 costs... ;]
You also don't want to sacrifice color brightness for white brightness with DLP. Alot of projector specs will say 3000-4000 lumens, but end up being 1500 lumens calibrated. So you end up needing even higher rated brightness, which means lower lamp life, higher power usage, and more heat output. The new viewsonic lasers(ls750 etc) have high light output, being laser have lower power usage and heat output. I haven't seen what wheel these use, what their color brightness is, only that d65 is around 3000 lumens(perfect!)
A used Sim2 nero/lumis 3d is probably a bit expensive. Could keep an eye out for Digital Projection E-Vision lasers, the 2lamp units also(e-vision, d-vision, i-vision, highlite cine, same need to say 3d specifically), but they consume 1kw(might need a dedicated circuit) and put out alot of heat that would need to be exhausted.
The sonys will have 100% color brightness, but are usually around 1400 lumens calibrated in high lamp, and you can take off 20% of that after a couple hundred hours on the bulb.
A 3d setup using 2 projectors can get complicated but provide a better experience as its easier to hit the required brightness.
I really like 3d but it's not something I'm able to watch due to spouses eyes don't agree with it. I've been leaning towards trying a vr headset at some point.