Thanks, everyone, for the replies!. I got to read them just before I left for the airport last Monday! I wasn't able to reply then as I was still busy packing. Anyway, I arrived at RDU, my final destination, with no hassle and no delay.
I was able to get out of the plane at LAX ahead of most of the passengers and approached someone at immigration who was directing passengers to booths where lines are about 10 persons long each, some of whom were probably from another flight. I showed him my MBE which he took together with my passport. He then led me to a booth at the farthest end which had no one in line. There were two immigration officers there, one asked for my customs declaration form and had me sign some papers and write my US address. Then she took my index fingerprint. The other one who was on the computer opened the MBE and probably reviewed the contents ( I didnt really notice), entered my data on the computer and also stamped and signed the 2-yr expiration of my CR1 visa. They handed me back my passport, customs form and one of the documents I signed (notice of removal of conditional permanent resident status). I was done with immigration in less than 5 minutes with no questions asked. My x-ray result was not even asked though I had it in my carry-on luggage in case they asked. They probably do not ask CR1/IR1 visa holders much questions, do they??
When I got to the conveyor, an airport crew was moving the baggages from the conveyor to the floor around it. I easily found mine among them. Got through customs without them asking for me to open them. I then left them at baggage drop-off for those with connecting flights and walked to terminal 5 for my connecting flight (delta). The walk took less than 10 mins. Got my boarding pass, passed thru security and was at the boarding area in less than an hour from the time I stepped off the plane.
Just need to wait for the SSN to be delivered.... and then relax for a year and and 9 months til the time to remove the conditions come?
Thanks, again, to all of you!