How to use curl to export/import all documents from/to a bucket as json (including id)?

I do not have ssh login access to couchbase server (and associated tools/binaries)

Not required for cbimport/export

I am not allowed to modify the buckets or make other administrative changes (like XDCR)

It’s not needed for cbimport/export. But you should explain that your company is already paying for the functionality that is being requested.

I am not allowed to install any binaries that would require private licensing or additional cost

Just install CE to use cbimport/cbexport. It’s free.