Generally the solution for this is not to share keys, but to grant connect permissions to another address. So you can use exactly the same process for the second laptop, as you used for the first.
If you really want to share keys, before the node is up and running, you can't do so using the usual dumpprivkey and importprivkey APIs. Instead you can copy across the wallet.dat file from one node to the other (which neither MultiChain copy is running).