Hello FunctionalOrang
It is always inspirational to read applicants' profiles. Overall, your profile is good and other elements of your personality can help leverage or even strengthen certain parts of your profile.
You certainly have a strong GMAT, your engineering background and high GPA are a bonus - which for your target school list, will be relevant aspects of your app.
Depending how you approach the obscure sport, we can give it a positive spin, showcasing teamwork/leadership traits acquired, as well as commitment and grit to endure in competitions (national and international).
We need to clearly tell the schools the rationale of your goal to pivot into Consulting. As long as you can convey why you want to make this transition. Highlight that your current background has given you certain skills but Consulting will provide you with a far-reaching perspective of businesses, strategies, industries etc.
The downside perhaps, I`d agree with the other consultants is that there`s no evidence of community/social/volunteering activities. Perhaps you've done something while practicing sports and have just not mentioned here.
Stretches: CBS, MIT, Booth
Realistic: Haas.
I would most definitely suggest you consider: Kellogg, Michigan Ross and NYU. All these schools have great employment in consulting and you'll have better chances.
I would be happy to share more insights on your profile and how to tackle "apparent" shortcomings as of now.
Beatriz Campos (LinkedIn: Bia Campos)
Admissions Director
MBA House