Resume format

Keep it to one page and ditch the summaries.
In my opinion, the reason people still push these summary statements on resumes is their resume is so long a reader can't get the big picture by looking at the first page.  If you keep your resume to one page, it's fairly easy to get the overview from the resume itself.  I agree with your wife -- I don't pay as much attention to the 2nd or 3rd page.
The professional summary and industry involvement would of course be captured in your normal work experience section.  In addition, your cover letter would highlight and summarize your experience in order to relate it to the specific position.  And you'd also add or delete job descriptions/accomplishments to make it most relevant to the target role.
Consider two options -- let's say you put all these summary sections before the work experience.  What happens if they don't see what they want and therefore dismiss the resume before they read your work experience?  And if they don't dismiss it, what's your reward?  They read the work experience.  Oh wait, one more hurdle:  hopefully the summary lines up well with the experience.  What if you say something in the summary, but they don't easily see it in the work experience (or it's on page 2 and they're thinking your relevant experience is way back in the past)?  What if they find something incredible in the work experience section and think, why didn't they put this right up top?
Now consider a resume without these sections.  What does a recruiter do?  Just starts reading the work experience.  Can you really imagine someone saying -- oh good grief, I can't be bothered to read a one-page resume.  I just wish they'd included three summary statements and extended the work experience onto a 2nd page -- that would have really save me so much time.
The best you can do with all this filler is no better (and possibly worse) than what you get without them, if you keep it to one page to begin with.

Professional experience should ALWAYS come first, after your name and contact info. Summaries and the rest are just fluff and not needed if the content of the accomplishments is high quality and to the point.
For my last job search (this was before discovering Manager Tools) I had a 3 versions of my resume: one for the design industry (the "pretty" version, lots of white space, 2 pages), one for positions in other industries (still 2 pages) and one for positions in higher education (CV-resume hybrid, 3 pages). For all three, my most recent professional experience was on the first page, no summaries, and they would be tweaked to have details most relevant to the position I was applying for. Not MT format, but it worked OK.
I had a good response to my resume at that time and got the job I wanted.The economy was not great then and the job market looks even slimmer now, so I would not take any chances, the MT format is the way to go.
If it were me I would politely thank the career counselor and then ignore their advice.

 
Most resumes are terrible.  As Mark and Mike say, the resume should show what you have done and how well you have done it.  I recently looked at a resume with 2 pages and only one true accomplishment.  This is from a person with a 20 year career.  Another resume, from a person with 5 years of experience was:  Top 1/3 - education (including high school); Middle 1/3 - skills, including computer skills; bottom 1/3 work experience.  His work experience was then equally divided between his high school, college, & professional work experience.  The most important part of his resume was at the bottom, used up only 10% of the page and had no accomplishments. 
The MT format when read by a hiring manager says:
1.       I am an effective communicator and can be succinct and to the point (one page only);  
2.       I understand my audience and focus on what they want (recent relevant work experience first);
3.       I have done my previous jobs well and know that results & metrics matter (accomplishments with numbers).
I would give someone with less relevent exeperience and an MT format resume an interview over someone with perfect experience that was went for more than 1 page.