If they only do what you said they do then you should be able to pass just fine if no CELs are on or stored. If you keep at least one cat you should be able to still pass emissions tests (unless the tune is that bad). However, if they do visual tests then everything goes up in the air. Some places follow the book strictly so you could fail for any number of reasons. I know in VA you aren't supposed to have those crank case breathers and I have known people to be failed because of those. Where I currently live/work/go to school they don't do emissions testing (but are supposed to visually inspect) and I somehow passed at a Merchant's Tire and I personally know there are about 20 things on my car that would fail me. All that being said, if you still have at least one catalytic converter, no breather filter, no CELs or anything else blatantly illegal you should be just fine. You're not in CA so not having CARB approved parts should not be a problem.