When I cat the file an example of the output format is:
ok: servername Mon May 23 00:00:00 EDT 2018
ok: servername Thu Jul 16 00:00:00 EDT 2019
With GNU date, you can specify an input file containing all your date strings; combined with cut and paste:
paste -d ' ' \
<(cut -d ' ' -f-2 infile) \
<(date -f <(cut -d ' ' -f3- infile) '+%m/%d/%Y')
Output:
ok: servername 05/23/2018
ok: servername 07/16/2019
This uses process substitution to build a temporary input file for date -f, and for paste to build a new output file.