Lutzer holds to the Doctrines of Grace--he is also a dispensationalist. Read and listen to him for Soteriological purposes only (he is also good on some apologetic issues, like world religions).
Moody was like many of hte early Premillennialists--he held to a vague view of the sovereignty of God but, then again, he was a revivalist.
I know I've read somewhere that Moody didn't hold completly to the doctrines of grace. I have the book "Notes From My Bible" by Moody.
Here's his note on Ephesians 1:4:
"Do not stumble at the doctrine of election. Preach the gospel to all, and (as some one has said) if you convert anyone who was not 'chosen,' God will forgive you."
'Save thine elect, Lord, and then elect some more'
Of course he knew this could not happen, but it was rather an expression of his passion for lost souls - which he shared with Moody. We need more soul-lovers today!