I am currently in the process of getting my real estate license in Michigan, with the full intention of getting my Broker license ASAP.

I would really like to start my own property management company asap without quitting my current full time job. I have a finance degree and work with budgeting and forecasting in automotive. In the past i worked a 1 year internship as an analyst at a property management company and just over a year as a mortgage underwriter.
 Once i get my RE license I have have a family friend that will sponsor me, and ill continue to work full time at my current job.
Once I have my salesperson licence i plan to manage some investment properties of friends and family part time.     How strict is the Broker license in the need for 3 years full time experience? Is there any way around this with part time experience? 

Strict. It is fraud if you aren't honest on your application. Work around "...at least 3 years full time experience as a real estate salesperson, or equivalent experience." See part 7 for the point break downs of the equivalent. experience here: http://www.legislature.mi.gov/(S(fze5zbuyizxzyfhnbixpdsid))/mileg.aspx?page=getObject&objectName=mcl-339-2505