I think that the new economy as well as the changing trends of professional working life are starting to shake up the old rules in regards to full-time vs. part-time MBAs.
In regards to the new economy, the opportunity cost of pursuing an MBA has risen. Many people do not have the resources to pursue an MBA on a full-time basis (especially if their spouses are struggling or wish to hold on to their positions). Because of this, you have some really stellar MBA students who find themselves in part-time programs. If employers do not see this now, then they would be smart to do so within the next 5 years. Life happens...even to brilliant, career-driven individuals. Resumes are becoming more and more diverse. A part-time MBA is just one of those features....which will be popping up a lot more frequently and prominently in the resumes of excellent job candidates.
In regards to changing work trends, the average working professional will change jobs, even careers, several times. This will happen with or without and MBA (full-time or part-time). If you are younger (under age 30)...the part-time MBA will even be more irrelevant in regards to your ability to switch careers.
How the part-time and full-time MBA programs differ the most are in the learning environment and networking opportunities allotted. Understand however, that even this exists on a spectrum. For example, a part-time MBA at NYU-Stern may have access to a greater network and career resources than a full-time MBA at Shippensburg University (in PA). Going off of the little information you provided, I would be surprised if at your career level and position, that you had absolutely no contacts already that could help you break into Management Consulting. You may find that by 'working' your current network and expanding it a bit, you could already have a big leg up on many other B-School students. And you would not have to forgo a very decent salary. I would go for the part-time option. Unless you really wanted to dive into the 'B-School experience' and take your chances with getting picked up by a Fortune 500 company....if that is the case, I would go with full-time.