Its not like that around here. Its rare for a patrol job to come open. Have to wait until someone gets promoted, dies, or retires. Most cops around here come out of academy, either apply for a state job as highway patrol and move away, or get a job at the jail as a CO and move up from there. I suppose its possible to start as patrol if you are willing to move anywhere in the state.
Same around me, I have several friends that are police officers, they all had to wait what seemed like ages to get in a dept. My wife's cousin finally got picked up after 6 years, only because 5-6 full time officers are retiring. Then, like others have said there are the "office politics" which can be downright insane.
If you live near any college towns you could try getting a job at a campus PD. You'd get a taste of the police academy, a bit of "police work" and make some good connections to further your career in law enforcement. A lot of the colleges around me have "retired" higher ranking town/state police officers as campus chiefs.