I have a sheet in the following format:

What I need to do is, sorting the skills by skill number, not alphabetically. I'm having trouble because the original sheet has thousands of names.
Here's what I'm trying to achieve:

As seen, skill 1 should be the skill with the lowest skill number, skill 2 will be the second lowest, and so on. For example, Jill's Skill number 2 is now pool, not darts because pool has a lower skill number.
I think I first need to transpose the leftmost part as sorting by columns is much easier than sorting by rows. This gives me a thousand columns because I have a thousand names which is a bit inconvenient, but I couldn't think of anything else.
Then I thought of a VLOOKUP conditional formatting formula to give a color to every skill, so then I can sort them by color. I have 18 total skills so it makes 18 different formulas, but at least it's not a 1000. I could successfully give every skill a color by doing so, but only for the first column. I don't know how to apply the formula to all 1000 columns.
Either way, I'm sure there's a much easier way than what I thought, so any help is appreciated.
