Just the opposite. This idea may come from a time when infectious bodies(people and animals) were buried in quicklime (CaO) because it is caustic (alkaline), but this encases the body in the lime for a short time whilst putrefaction destroys the bacteria. You couldn't use this as a ground bacteriacide in normal circumstances. It quickly takes in carbon dioxide from the air changing back to limestone/chalk. You can get quicklime for use in restoration of buildings, but it is dangerous stuff and best avoided as it is not only caustic but gives off a lot of heat when water is added (some handwarmers and self-heating cans use it).
Agricultural lime as used today and which you can buy for use on fields or in gardens is varied in composition depending on the area of use, but is a mixture of various calcium and magnesium compounds used to neutralise land which tends to become acidic. This 'sweetening' allows better uptake of nutrients, better utilization of fertilizers and encourages bacterial activity.
Maybe the use of agricultural lime would help your situation as it would prevent acidification of your plot by the bird's poo and encourage the growth of natural soil bacteria which will breakdown the said poo quickly and without lots of odour. The time for leaving without birds will depend on the actual 'lime' that you buy. The supplier will have a guide, but generally, once in the soil there is no need to keep animals away. HTH