Perhaps have statistics in groups, like putting, scoring, percentages, etc.

For instance, stats per par like avg and GIR should be more inline, like (with proper spacing):

Based on Par:
Par 3 Avg: 3.5 Par 3 GIR: 40%
Par 4 Avg: 4.5 Par 4 GIR: 35%
Par 5 Avg: 5.5 Par 4 GIR: 55%

Putting:
Putts/Hole: 2.0 Putts per GIR: 2.1

If possible to let individuals order themselves, that would be best (although I am sure more difficult).

i'm with CJ on this one, I think the display of the stats could possibly be situated so that it would be easier to read and/or compare.

I agree. Rather than switching columns back and forth, go down the first and than start at the top of the second with a logical grouping of stats.

Just wanted to bring this up again...

As you provide more and more great stats for me to track, I'd like them to be more readable. To repeat, letting me organize would be more than greatly appreciated. But simply having some organization would be a plus. Tee stats, approach stats, short game stats, putting stats would be my suggestion.