The smog pump is not needed. It only works on initial startup, and its only job is to feed fresh air to the cats to help get them up to operating temp faster. There are other ways to feed fresh air to the cats besides the complicated system of hoses, vacuum lines, and check valves thata smog pump uses. Plus after the car has been running for about a minute, the smog pump is completely useless, so you could cut the thing off or gut the insides of it, and run the car through inspection, and your emissions readings would not change at all.
As for passing emissions without EGR, it depends what is involved in the test where you live. You will definitely need a tune to turn it off in the computer, otherwise you will get a check engine light, and that will almost surely cause you to fail. Also if they do a visual inspection, you might want to leave everything hooked up and just have it turned off in the tune, this way they wouldn't know. With that being said, I did pass emissions in my 94 cougar with the EGR turned off in the tune. EGR lowers NOx emissions by quite a bit, so my NOx was getting kind of close to the limit, but was still under by enough to safely pass. If I remember correctly, I think the limit was like 1100, and my reading was somewhere in the 850-900 range. The cats also reduce NOx, so as long as they are good, even with no EGR, it should come in under the limit. But, as Master486 already said, unless it is malfunctioning and you don't feel like fixing it, there is no good reason to delete EGR. It doesn't hurt performance at all, it improves part-throttle drivability (not a lot, but the improvement is there), and it improves your gas mileage by 1-2mpg on the highway. Unless it is an issue of it is going to cost too much to fix it right, just leave it on and functional. It is a good system that works well and hurts nothing, but for some reason it gets a bum rap for hurting performance.
-91 Cougar LS, coming soon, complete overhaul
with a 427" Windsor.
-90 XR7 5-speed black on black w/sunroof, MP2, coated rotors, double intercooler, 15%OD, ported heads, comp stage 1 cam, 85mm TB, 90MM LMAF, 80# injectors, and ported big valve heads
-98 Mark VIII LSC, Procharger P600b, TR3650 swap and 3.73s.
-90 SC Automatic rustbucket winter beater
-97 Tbird Sport 4.6 Nice weather daily driver
-"Your buddy Mike is INSANE!" -ClintD's dad