Banning Sex Offenders' Travel

Little Elm, Texas- A north Texas town is considering an ordinance that would restrict not only where registered sex offenders can live, but also where they can go. The residency restriction, which is similar to ordinance in several Texas cities, would prohibit registered sex offenders from living within 1,000 feet of places where children commonly gather, including schools, parks and libraries. But little elm also wants to measure to keep registered sex offenders from entering these areas, regardless of where they live. These restricted zones include about 68% of the land in town.
Now I understand and agree with the fact that registered sex offenders should not be allowed near these areas, and I also agree that it should be monitored where these sex offenders are living, but to cut someone off of 68% of the town they live in is a bit excessive.
The story goes on to say that the Council was expected to vote on the ordinance Tuesday. The Police Chief, Waylan Rhodes says "My job is to try and out think the bad guys" and he said he has heard about how residency restrictions have been ineffective and thought " well, if that's the case, why don't we just make out 1,000 foot radius apply to any registered sex offender? " I agree with that.
The Texas law prohibits most sex offenders who are on parole or probation from going within 1,000 feet of places like schools and day care centers, but this town about 30 miles north of Dallas wants to extend that to all registered sex offenders, even after they have completed their probation. A violation to this ordinance is a misdemeanor that comes with a fine up to 500$.
Now that seems silly to me, they seem to be making such a big deal about where these registered sex offenders can and can not go and the fine is only 500$??
I feel that each case should be dealt with separately. There are cases where girls claim rape and then some guys have to plead guilty to rape etc, to get a lighter sentence. Then had to register as a sex offender when they were released. These guys that may or may not have raped a female but since they had to plead guilty because a girl wanted to lie because she was embarrassed she drank too much now have a ruined life. If one of these guys has kids, and is a registered sex offender, they are not going to be able to be the dad that they most likely want to be because they are not allowed to be near their kids in certain places. I am by no means sticking up for the real child molesters out there!! That is why I think that this should not pass and these cases should be looked at individually.