Some comments based on your requested review:

1. I would shorten certain sections (e.g., publication, award) but I don't think your CV is wordy. On the contrary, I would suggest working on building out your work experience and initiative section. Its too concise! I would definitely move your professional skills to the bottom.

2. Impact is often more clear from the actions you took than the awards you got. A few thoughts:
+ Some simple numbers and specificities around your work and leadership experience (e.g., who were your clients, approximate $ scale of the oil field, how many Society members, how much funds raised, etc.)
+ Details on the HOW is missing or lacks detail in many of your bullets where you have tendency to rely on verbs and overly concise descriptions (e.g., pilot design, large databases, sensitivy analyses, etc.) as opposed to including details. One additional thing to keep in mind is that your work experience feels very quant heavy where it could be more effective to include your experience in other types of skills
+ Your awards are very impressive and you might want to include a little more of the HOW to be more (e.g., what did you do to receive the presidential award, how many people did the NYT consider for '8 young professionals in the world most like to lead the energy industry', etc.). For publications, although its not typical for a masters student to be an author of journal articles, I might include in your Education section

3. Most likely entry level although it will depend on the firm. You are right that your profile more naturally fits with an Oil & Gas/Energy or Operations consulting track which some of the large consultancies will have (e.g., Energy Insights at McKinsey)

Hopefully helpful where here's a very honest interpretation of how I have read your CV:

+ Strong academic achievements from specialised schools in US and France (if you are applying in Paris then I guess there's always the bias of not attending French prep school and grande ecole). Surprised to see you have published journal articles as a Master student - I wonder if he/she was the author or just a contributor?
+ Early career engineering consultant (is it a well known consultancy?) who seems to work with major corporations (which ones?) but with a strong focus on quantitative modelling and simulations (is he/she the Excel monkey or do they have client exposure/non-quantiative workstreams?)
+ Ok... some "standard" student society leadership experience, where I'm struggling to get a sense of impact... and wow, a pretty long section for awards... I wonder how selective these are... and boom - President Obama!? Presidential Volunteer Service Award!? How has this candidate made me wait this long for such a big achievement... but then wait, I have no idea what he/she did to receive it...

(edited)