As you rank is really awesome. As you want to know you will get government college or not. Most probably I say Yes. But I am not sure because it is clearly based on the cut off of different colleges. But you dont worry you scored a high marks. You can check last year cutoff 

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-mds-cut-off/amp

Here. Their are 1352 seat in Neet MDS in govt. College.