@Lawrence Williams Thanks! As your response pointed out, an FHA loan would be possible with this example (I was considering the maximum for a 1-unit home, instead of a 2-unit)! If only the 2nd unit could support a rent payment in excess of $2500/month, this might be a good deal. The property that I was basing this example on, the 2nd unit was a 1 bed/1 bath. So, this is highly unlikely.
@Dan H. Mistakenly, I failed to mention that my goal for house hacking here in LA is to significantly (30%-50%) reduce my living expenses, which I think is a reasonable goal for the market here and given the square footage I would need to live comfortably (I have 3 kids and 2 live at home). However, as most of you have pointed out, the numbers in this case example don't appear to work out, even for just lowering my living expenses. Seems I need to find a much cheaper property, as @Justin R. points out!
@David Weintraub and @Steve Babiak I wouldn't move into the property until after it was refinanced and the HML was paid back. @Steve Babiak I looked into a standard FHA 203K loan and the total financed loan would result in a monthly payment that makes a deal like this very uncomfortable for me (to say the least). This calculator I found was helpful: www.rehab203kloan.com.
Many thanks to all of you for offering your advice and input. The right deal will come along. I'm learning so much simply by asking myself, "how can I make this happen".