Find a good text editor that counts/shows line numbers.
Open file \addons\ulx\lua\ulx\modules\vote.lua
Find line 288 (as of current SVN). Should look like
ulx.logUserAct( ply, target, "#A started a votekick against #T." )
Change it to
ulx.logUserAct( ply, target, ply:Nick() .. " started a votekick against #T." )
Now, that's quick, dirty, will never show if the person starting the vote was an admin or not, won't show if you used/have silent log mode enabled, unknown to me what happens if console starts a vote, and may get overwritten during future updates.