Despite what the right-wing media you follow tells you, I know of no abortion clinics on public university grounds, so your straw man argument is already fatally flawed.  

Regarding the armed law-abiding citizen saving the day in some bad situation, I concede that it might happen, and has in very rare instances.  But a far more plausible situation is that an armed law-abiding citizen transforms into an armed law-breaking citizen when your daughter cuts him off in traffic then flips him the bird after he tailgates her and lays on his horn.  Road rage happens.  Having a gun at your fingertips might prove irresistible in the moment.  You can always hope that some other armed law-abiding citizen comes to the rescue...