Hello bravo205, thanks for your question.
I do think your GPA is low but not insurmountable. Your major GPA helps – are there any other analogues that better represent your academic aptitude? Have you taken classes since your undergraduate days?
Your competitiveness will really come down to the quality of your leadership experience both in and out of the office. Can you point to “moments” where you have influenced people/organizations, driven results, or taken initiative? The more you can demonstrate your leadership potential, the better your chances at those programs.
Moreover, the more you can tie your past and present to your future post-MBA goals, the more persuasive a case you will make to the admissions committees.
Given the limited information you provide, my gut says Booth and, especially, HBS are reaches for you. Assuming you get a 700, I think you could be competitive at NYU and Cornell.
Best of luck,
Brian