I too have had an intel raid array defined on one ICH10R motherboard (x58) and then plugged it into another Intel-raid ICH10R motherboard (LGA-775), and had the drives come up perfectly.
With intel raid, it does not matter which drive is connected in what order to what port. And the raid "configuration" is stored on the hard drives themselves, so when you connect all of the hard drives in the array to another system, it should come up.
However there are a few small issues to this.
1.) If there is a significant platform change and the system chipset is vastly different (Like for example, moving from x58 to newer Z77), and you are using your raid array for the windows boot partition on your current computer, most likely windows will not "adapt" to the newer platform. You will likely be able to -read- everything out of the array if you boot to another hard drive, but ultimately windows it's self will need to be re-installed, after switching to the new platform, if this is your situation.
2.) X58 has 6 x SATA II/3-Gbps ports, all newer intel motherboards (except some of the high-end LGA-2011 motherboards) have only 4 hard drive ports to connect to the ICH10R chipset / intel onboard raid. If you are using all 6 ports on your x58 system, you won't be able to see the raid array on a newer system, just because physically you would only be able to connect 4 of your 6 hard drives, which would appear as a raid failure when you boot up the newer system, no matter what raid type you had previously.
Most of the newer LGA-1155 motherboards should have the SATA Ports color-coded to coordinate to which sata chipset they connect to. Look at them in the images on websites like newegg, tigerdirect, ebay, etc. You will likely see 4 ports of the same color, and 2 ports of a different color.