Sorry I can't give you any advice re the electric screwdriver. While we have used them from time-to-time when building/repairing PCs I found them awkward to use in comparison with the simple non-electric screwdrivers we generally use. But I do know some builders (particularly those involved on a production basis wouldn't be without one). Perhaps your best bet is to visit a local machine shop with the HDD apparatus in hand and see what they could do to remove the recalcitrant screw.
Now as far as the disk-cloning operation involving drives with different sector/cluster sizes...
We use the Casper d-c program as our preferred choice for this operation. Our chief use of the program is for creating/maintaining comprehensive backups of our systems, so we utilize the program on a quite routine/frequent basis. And have been doing so for about the past 20 years or so. I've never found a d-c program its equal for ease-of-use, general effectiveness, and perhaps most of all speed of operation.
I can't recall running into any problems with the Casper disk-cloning operation involving the source & destination drives because of different sector/cluster sizes. Perhaps you would like to give this program a try and see how it goes.
Casper is a commercial program costing $49.99, however, a 30-day trial edition is available from https://www.fssdev.com/products/casper/trial/
If you want to give it a go, here are some instructions...
1. After installing the program and before undertaking the disk-cloning operation close all open programs. (Generally you need not disable your anti-virus program). Ensure that the two connected drives are properly connected in the system.
2. The opening screen of the Casper program will highlight "Create a Bootable Backup". Click on "Add drive" and a listing of the appropriate destination drive(s) will appear, e.g., your (INDICATE DRIVE) .
3. Click on the destination drive's listing (which I assume is your USB-connected 2 TB HDD) and then the "Back up now" button.
4. Casper will run in the background and alert you when the disk-cloning operation is completed. (You can view the actual progress chart by clicking on the Casper icon in the Notification Area on the Taskbar.)
5. Following the (hopefully!) successful disk-cloning operation (AND THE FOLLOWING IS ENTIRELY OPTIONAL) you may want to try booting to the USB external drive while it's still connected as a USB external drive to possibly determine whether the disk-cloning operation was successful. Casper does have the capability of booting to a cloned USB external drive provided that the BIOS OEM PC will allow this type of boot from a USB external device. Some OEM PCs allow such a boot, others do not. So if you choose to initially attempt a boot from the USBEHD and it fails, please understand this is NOT DEFINITIVE if the boot fails at this time. If you DO want to give it a try, ensure you select the destination drive as the boot drive from the laptop/notebook's boot menu when you power-up your laptop/notebook. Obviously the "proof of the pudding" as to whether the disk-cloning operation was successful is when you disconnect the internally-connected drive from the PC and replace it with the cloned drive.
6. Ordinarily Casper will utilize the ENTIRE disk-space of the destination drive to contain the data contents from the source drive. In some cases the trial version program will create a partition on the destination drive equal to the source drive's partition. If that does happen, you can simply use Disk Management to extend the partition on the destination drive to encompass the total disk-space available on the 2 TB HDD (or whatever portion of the unallocated disk-space you desire).
7. Work with the newly-cloned drive for a while to determine it boots & properly functions before making any changes in the former boot drive until you're absolutely ensured the newly-cloned drive is functioning without any problems. If all is well, only then should you make any desired changes in the former boot drive.
Good luck and please keep us informed how it goes.