First thing I'd do is hope for a "chemical miracle" in the form of aerosol carb spray. If the carb spray cleans the linkage, fast idle cam pivot; and choke blade pivots and afterwards everything works good--you're done. God Bless Carb Spray.
If the carb spray DOESN'T fix the problem, I'd be looking for bent/binding linkage pieces or a choke coil that's either adjusted too lean or no longer has any tension.