There is a BIG difference, as you already know. Doctors, lawyers, etc. cannot practice AT ALL, without a license, but most states have industrial exemptions for engineers, as it should be.
" public and the engineering community treats the engineering profession with such little respect "
Let's be realistic here; no one can claim that hairdressers have "respect" akin to that of doctors, and certainly, few profess any respect for lawyers.
I don't think there is, or every will be, a public level of respect for engineers that can comparable with that of doctors. Doctors get respect because their work has direct impact on everyday people evey day. That will never happen with engineers because their work is only exposed to the public when it fails, and usually, only when it fails drastically. Nonetheless, engineers who can look at ailing engineering artifacts and diagnose them like doctors get considerable level of respect from their peers.
I would further dispute that doctors receive that much respect anyway; the broad public generally sees doctors as pill pushers and orderers of excessive medical tests.
TTFN
FAQ731-376
Chinese prisoner wins Nobel Peace Prize