Option #1, Parking Spot (Sepulveda Blvd Garage, Red Sign on Shuttle), its an option but yes you will get looks from others if you exit via one of the side doors.
Option #2, LAXShuttle/Public Transit, This is a longer, but more reliable option, and somewhat hassle-free. Take the LAXShuttle "C" Bus to the LAX
City Bus Center at the end of the line after it goes thru the "C" Parking Lot, then you have the option of taking the Santa Monica Big Blue Bus route #3, Culver CityBus route #6, or Los Angeles Metro route #'s 42/42A, or 439 up 2 stops on Sepulveda Blvd to the Westchester Pkwy stop. The "C" bus is free while Culver CityBus, and Santa Monica Big Blue Bus are a 75 cent fare. LA
Metro is $1.25.
Option #3, Walk, if you're going into T5
like i think you will, you will want to walk to the north side of the terminal complex then hang a right. Walk all the way to the end of T1 then hang a left on "Sky Way". This will turn into the 96th Street Bridge. From there walk along the bridge until you see the stairs that lead down to Sepulveda Blvd. The walk from T5
i would say has to be up to 20min or so.
Hope this helps Phillip.