Seems like an easy answer to me. Correct me if I'm wrong or inaccurate but I think the main reason you might have an issue is because of chipset differences and thus, driver differences. If you have variation there, you'll definitely want to re-install the OS to be safe.
There may be some utilization of generic drivers but in most cases, there will be differences and then there will be some conflict and where Windows is expecting a certain driver, there will be something else there.
Imho, the best thing to do is to compare the home pages of the hardware and compare the chipsets/drivers.
In most cases, it's just easier to re-install and then you don't have to concern yourself with problems that might arise.
I would just copy all the data (files) and settings to another drive so that when you re-install, the data is still there and usable. Bookmarks can be carried over as well.