I agree, the training should be more comprehensive, yet when you say, 'regardless of cost; then it will not not happen. Handgun safety should be the first concern, and is easiest to teach, since it is pedagogical.
It would be good to teach firearms use, and this is done well in Texas, where one is required to have so many hours of instruction on the range.
The police program, which is used for those who undertake dangerous duty, or, in some states, wish to make detective, is far more intense, and requires discriminant shooting at mock criminals where innocent persons are present. It also trains actual shooting with special rubber bullets, and many hours of this training, along with extended education, which is mandatory.
As I have stated, not all police officers have this training; DPS does not require it, as well, most patrol officers.