MBBS degree is the same everywhere. The only benefit Government colleges have over private colleges is that the fees are very less. The fees a private MBBS college student pays for a year are equivalent to what a Government MBBS college student pays for their entire MBBS course.
While private colleges offer a little more luxury than government colleges, the course is the same. If you can meet the financial needs of a private medical college, then you should seek, admission in a private medical college rather than wasting time in attempts.