We have looked into the second passport thing. It will not work for me or my husband as we have run out of pages on our current passport. We will have a new passport when we get to Jordan.
About the Jordanians not stamping the passport it is a great idea in theory but if it does not work that is a problem. If we get a stamp flying into the country and none when we leave at a land crossing then there is a question about how long we were there for any why did we not get an exit stamp.
I think our only option is flying from Amman so there is an airport stamp. We will not have any Israel stamp as they give you a form a slip of paper. If our passport shows us flying out as far as Iran knows we went home not into Israel via a land crossing.
Our Iran trip will be months after leaving the Jordan. So there is no paper trail we are GOES so our US passport is not stamp as we come in so there is not some missing dates (the Israel) time period to account for.
Someone spoke of Canada questioning them. I hope we do not have any problems with the US and our future GOES status with Jordan and Iran on our passports and travel records.
We decided to fly the 45 minute flight at $388 each to avoid the land crossing and having our passport stamped by Jordan at the land crossing. We really want to go to Iran and do not want to get blackballed when we go to get our visas for there.