Shouldn't There Be A Notification When a Felon Tries To Buy A Gun?

A House committee just voted to approve a bill requiring background checks for all gun sales or transfers in the USA.  Most likely, the bill will pass through the House when presented for a vote.  The committee, however, rejected a proposal that would provide the names of those failing the background check to local and federal law enforcement.  In other words, if a guy who was in prison for armed robbery goes to buy a gun but gets rejected because of his criminal record of gun violence, the amendment would have required that the police be notified that this guy is trying to buy weapons.  That might be a violation of his parole or it could just be an indicator that the guy is planning to go back to his old ways.  The Democrats on the committee rejected the amendment because it might notify police of illegal aliens who failed the background check.  Think about that for a moment.  The Democrats who always talk about how important gun control would be for stopping crime voted against a plan to give police a heads up that some criminal is trying to get guns because it might lead to ICE getting a notice about an illegal alien.

Here's the real question:  why are the Democrats more worried about protecting illegal aliens with criminal records that about safeguarding the American citizens who could be put at risk if criminals get guns?  It sure seems like their priorities are scrambled.