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I think I understand what you're asking, but I also may not explain it the best. It sounds like at the end of the day, you have latitude and longitude in both of your datasets, yes?
Dataset 1- 911 calls & location
Dataset 2- Neighborhood boundaries (polygons)
Just to get the map, you'll want to "union" the data, so that the Latitude and Longitude fields of both of these data sources are in the same column, and then all the other columns are there. You'll have some blank fields, but don't worry- "Call type" will be null in all the rows with the neighborhood data, and "Polygon order" will be blank in all the rows with 911 location. If you create the sheets with all the columns needed in both, you can union them in Tableau, but your life will probably much easier if you can do it in a statistical program like R.
The issue is that even though the map will look correct, you still won't be able to filter the calls based on neighborhood, since you won't know what neighborhood the calls are in. What I would suggest it using another data source (Census data? Do you know what City the calls were from and what cities are in what neighborhoods?) to assign the calls to a zip, city, or neighborhood, so that you can have another column that the two data sources will also share.
Hope this helps! Maps are one of the most fun parts about Tableau (=