Move comes as Biden administration faces an influx of illegal immigrants in Del Rio, Tex.
Critics say the 'heartbeat law' will end abortion in the state
ACLU and NAACP joined conservative groups to oppose the rule
Lubbock is largest city to adopt pro-life law
Legal action could help proponents fix problems with the laws
Justices seem wary of making broader statements on student free speech
Fourth Amendment case has justices taking unusual positions
Court ruling could require women to register for selective service