Is my question that complicated ? Anyone have insights ?

Hi - it's the weekend and you may have unknowingly stumbled into some topic fatigue as well. Go up a level to this board's main section (link -
http://www.intelproplaw.com/ip_forum/index.php/board,22.0.html) then in the search box in the upper right corner type in MSEE and search.
You should find a couple of pages worth of threads discussing the desirability of MSEE over MSCS, MSME, etc. And at least one I recall pointing out that at many schools, already having a BSME should let you jump into the MSEE program (vs. starting at BSEE) with maybe a pickup class here/there, but overall saving you about 2 years.
And you might want to repeat the search at this similar board (link -
http://www.intelproplaw.com/ip_forum/index.php/board,23.0.html) which is the Patent Agent/Lawyer Careers board, because I think the topic's come up frequently there, too. (Possible the discussion of jumping in at MSEE was on this board instead).
Good luck to you.