I am not a mechanic, but I went through a similar process.
If your car produces smoke like a chimney on acceleration (I had the same thing after re-build), it may do so for some time and then stop - if it is burning out some of the assembly grease that might have found its way here or there. But if it continues and if your spark plugs are black - your car may be overall too rich. If this is the case, you will not adjust it with the thumb screw that is sticking out in the back of the FIP, because this thumb screw is for the idle only, works up to ca 1700rpm. The overall FIP has to be adjusted first, then the idle part of it.
There is another screw for the overall range of rpms adjustment. There are also screws for partial loads adjustments, but do not even think of touching them.
You have all that info in Technical Manual. There is also massive amount of threads about it on the Forum.
If something happened to the idle adjustment screw, as you say, it is a bit of a trouble to get to it in your type of the pump (as you have this big nut probably in the back, rather then the simple plate) and because indeed it would be good to adjust your FIP properly (before any re-build decision) - it is probably best to send it to try to check and adjust it. Hope the shop will be honest and will not try to squeeze $$ from you.
One other important point: do not even think of detaching FIP linkage lever from its shaft as you work on your FIP.
While putting back FIP into the car, you would have to pay attention to its timing.