subtlySimple wrote
Problem 1: My problem now is that the engine is popping back into the carbs at idle and high rpms.
Problem 2: It will idle but will die if I twist the throttle too quick.
Problem 1: Sounds like either a vacuum leak,like Tools said,or an intake valve set too tight.
When an engine pops,or backfires,thru the carburetor it is caused by either a overly lean fuel condition or an intake valve that is not closed when the spark plug is firing.
The intake valve adjusted too tight is self explanatory: the spark plug fires and the combustion process is ''leaking'' back into the intake tract,and eventually the carburetor.
The overly lean condition causes a back fire because the ultra lean fuel/air charge preignites off of engine compression before the intake valve gets to close completely. Again,leaking back into the intake tract.
Problem 2: Symptom of a vacuum leak or a faulty accelerator pump.<-- Which could also explain your other problem,since a non working accelerator pump obviously will create a lean condition,too.
When it pops at high rpms does it continue to pop the whole time you stay in the throttle,or only when you first crank it open?
If it continues I'd look into a vacuum leak.
If it's only when you initially crack the throttle open,I'd look at the accelerator pump.