You are showing your naivety in your last message. 32 may be older than some hires at larger consultancies - but they are taking people who have gone straight from 1st Degree to MBA. Not a route I would ever recommend for anyone. It just leaves you with a glaring lack of experience and frankly most younger MBAs just can't cut it because of that. (Sorry if that offends some but 30+ years of experience tells me I'm right).
You are unlikely ever to get a job with McKinsey - you just don't fit the model they work to. Rather like knowing that getting a top job in the Foreign Office requires an Oxbridge background... That said there are plenty of other opportunities out there.
What was it about McK that appealed (apart from the Brand)? Look for others delivering in similar ways and you stand a real chance.
First however you need to get yourself sorted. Work out what your skills/experience REALLY are (don't lie about it 'cos it is yourself you are talking to). Next work out what the likely requirements of your target consultancies are. It's called Gap analysis and is something consultants do all the time without thinking.
That will then let you know what you need to fix. How you fix it will depend on the answers but if one thing you are lacking is experience then an experiential learning MBA is better for you and Tuck may not give you that answer (I haven't read their prospectus but I bet they are similar to Harvard). I'm always extremely wary of people who have done MBAs on the Harvard Model - because the vast majority of businesses on this planet aren't MNCs. Over 50% of the UK working population work for organisations of 25 people or fewer.
Just look at how stupid some of the so-called high-flyers are who appear on The Apprentice (either UK or US versions). They fall over due to lack of maturity and I think THAT is what you should be seeking to develop.
Getting highly paid and rewarding jobs (like a good consulting position) requires effort and frankly the vast majority of candidates aren't truly up to it. However getting to understand yourself better through psychometrics etc would give you insights that could pay dividends.
For starters have you even done a Belbin Test? Or a web-based version of Myers-Briggs? These will give you some insights into your personal style that will help you understand where your strengths lie. As most experts will tell you - trying to back-fill gaps in personal style is virtually impossible. One should always build on strengths not train on weaknesses.
From what you have said in your posts it looks like your strengths may be in areas that are not appropriate for where you think you want to be. Nothing wrong with that - thousands have been that route before - but far better if you get behind the issues and work out that there might be an even BETTER place for you that will build on you not put you under pressure.