Macbook 2016 shutdowns during start, safe mode working
This looks like a hardware error, but it could also be a software error.

Jul 14 12:16:45 localhost kernel[0]: disk1: alignment error.
Jul 14 12:16:45 --- last message repeated 1 time ---
Jul 14 12:16:45 localhost kernel[0]: disk0s1: alignment error.
Jul 14 12:16:45 --- last message repeated 1 time ---
Jul 14 12:16:45 localhost kernel[0]: disk0s3: alignment error.

Since you already tried formatting the drive (the software issue) i think you are only left with hardware issue. But just to be 100% sure, try repartitioning the drive again, it might be an issue with the partition table on the drive and not the filesystem itself.

Repeat what you did before, Internet recovery, Utils > Disk Utility -> Partition the drive as 2 or more partitions first, then after successful partition, go back to 1 partition. (Do not only format Macintosh HD). Try and reinstall OS and see if it works. Otherwise i would recommend an Apple Authorized Service Provider.