I don't know about the current roster but Thompson has drafted 14 players out of the SEC since taking over as the Packers general manager. There are eight teams in the league that have drafted less and another three the same amount SEC prospects over that period.
I think you'd need to do the comparison on a percentage basis given Thompson's habit of accumulating picks, particularly in the front half of his tenure when he was team-building and putting his stamp on the roster. He's had more than the allotted 7 picks in all but 3 years, and never fewer than 7.
The 14 draftees out of the SEC in the Thompson era are as follows:
2007 - Justin Harrell - Tennessee - DT
2007 - DeShawn Wynn - Florida - RB
2008 - Patrick Lee - Auburn - DB
2008 - Matt Flynn - LSU - QB
2009 - Quinn Johnson - LSU - RB
2009 - Jamon Meredith - South Carolina - OT
2009 - Jarius Wynn - GA - DE
2011 - Derek Sherrod - Mississippi State - OT
2011 - Randall Cobb - Kentucky - WR
2011 - D.J. Williams - Arkansas - TE
2012 - Casey Hayward - Vanderbilt - DB
2013 - Eddy Lacy - Alabama - RB
2013 - Josh Boyd - Mississippi State - DE
2014 - Ha'Sean Clinton-Dix - Alabama - DB
No SEC picks in the last 2 drafts; 4 in the last 5 drafts; SEC selectivity in the earlier rounds during the back half of the Thompson era has yielded much better results than during the front half.
The Packers have gone to the PAC-12 for 7 draftees in the past 2 drafts; 13 in the past 5. However, in the first 7 Thompson drafts, there were only 6 PAC-10/PAC-12 players selected out of a whopping 68 picks.
In the first half of his tenure, Thompson was conference agnostic, looking for players wherever he could find them.
In the second half of his tenure he's not been entirely averse to looking for playmakers in the SEC who may not be the sharpest knives in the drawer (Sherrod being the Wonderlic exception).
In the last 5 years, he's favored smart guys out of the west. The fact that college pro style offenses are an endangered species, with Stanford and Cal having been among the few left at the major level, probably factors into it, whether playing in, playing against or practicing against something that looks like what will be encountered in the pros.