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I would like to purchase all new components and case for a new build not using Dell
Short answer - No. Dell is very finicky. If the Dell Install CD doesn't find Dell components, it won't go.
There may be work-arounds on this that I'm not yet aware of, but from what I know of the Dell setups, it won't go. The Dell Install CD's have a software signature so the Install won't work on another machine, which is in fact what yours would be with all new components.
You'd most likely have to purchase a retail XP CD. An Upgrade CD would work if you have a previous Windows CD to prove eligibility to use an Upgrade CD. (ie; Win95, Win98, etc)