The 3.3L Fairmonts mostly had the Holley 1946C carbs, but the fortunate few also had the Carter version. If you have a Police Interceptor version (rare), it has the H/W carb with 32/36 mm barrels. All of these have EGR systems and the CSSA spark controls for the distributor.
The EGR problem is gnarly if you have a 1 bbl carb, because the carbs were specifically built to be "tamper-proof" in jetting. This means that it will run rich in the low midrange if you simply disable or remove the EGR. You can't adjust the jetting to remove this problem, either. Good luck passing emissions then....it runs poorly, then, too.
To run without EGR, get a carb from an old (1960s) Mustang/Falcon (consult the Falcon Performance Handbook for details). Surprisingly, using the older carbs with about 5% leaner jetting and no EGR gives almost identical emission readings at the tailpipe, compared to EGR-equipped engines! There are a couple of HP extra in the payback, too. Leave the catalytic converter in place when you do this: the ones on these cars were VERY large and as a result, breathe quite well, even when old. The only thing that kills them is long-term rich mixtures, but the little honeycomb can be unplugged with a long, thin wire and it works like new again. Leaving it in place will let us all breathe easier.
While running without EGR will improve the acceleration a bit, it makes the engine run hotter, so back off a degree or two on timing advance to prevent burnt valves in the long haul.
The CSSA system provides manifold vacuum to the distributor when the engine is under 100 degrees or over 220 degrees (approximately). The cold side improves that morning drive-off and the hot side cools off an overheating engine. In between 100 and 220 there is no vacuum applied to the distributor. Changing this arrangement to run spark port vacuum to the distributor all the time will give you better MPG and acceleration and will let the engine run cooler overall. Although technically illegal, this change does not make the engine exceed even Colorado's stringent emission standards.
Yes, Virginia, there was a Police Interceptor 3.3L in some Zephyrs. The ones I know of were modified by a Ford-authorized shop in Denver after delivery to local dealers. They were used for security companies and campus patrol vehicles, mostly. They have a very low-profile, wrap-over style air filter can that resembles the ones found on mid-70s Merc Capri 2000 engines, complete with a hot-air exchange inlet for cold weather driving. The only thing that is different from the stock setup is the flapper that diverts cold/hot air: it works backward if you use the stock thermal coolant switch, so you must change the switch to use the flat cannister. Then you can bolt on the 1/2" high carb adapter, which has the EGR port on the side, and bolt on the H/W 2 bbl. As soon as I find all of the parts, I'm going to do this to mine. Oh, they also have a fan clutch to reduce drag (instead of the flex fan). I added this to mine and instantly saw a better hillclimbing ability - very important here in Colorado.....