Index Drop for Partial Overlap?

I’m working with a 50mil row table with the following:

  • Clustered Index keyed on [Col1]
  • Nonclustered Index keyed on [Col1], [Col2] (no includes)

It seems like the right call here would be to drop #2 and rebuild #1 keyed on [Col1], [Col2]. Sound right? Would the tuning logic be the same if the NCI still had [Col1] as its first key and then 7 other keys after that (rebuild the CX with 8 keys)?