yeh, it's software raid – chipset etc will be different
can't I just reset it to be "not raid anymore" in the bios ?
If the bios has a raid setting then its probably fake raid. On the first system if you turn raid off you may switch to a different HDD controller and you may get a 0x07B bluescreen on boot as the HDD controller switches from raid to non raid.
Honestly if you have to do this and dont want to just buy a new HDD then I would pull one of the drives from the first PC but leave it in raid mode (as its a raid 1 it will run in a degraded mode) and then format the removed HDD in the new PC during the install process and do a clean install. Then transfer any data you need over a network cable after.
Also check your backup is good before starting… 🙂