I have a control in my SS template (<% control HomePageFeature %>), it works fine in returning HomePageFeature's that are published. However, when I make a change for example to the title of one of the home page features and when it goes into draft mode it no longer shows up when I preview the site (i.e. http://somesite.dev/?stage=Stage) which is accessed from the "Draft Site" link in the CMS backend.

Any idea on how I can let my control loop to display changes that are in draft so that the content editor can preview how it will look like prior to a "Save and Publish". Again if those features are published everything works fine.

Is the HomePageFeature a DataObject as you may have to add versioning to that DataObject.
The links below give some advise on this

http://stackoverflow.com/questions/14992605/how-to-use-silverstripes-versioned-feature-for-dataobjects
http://doc.silverstripe.org/framework/en/topics/versioning