Four kids & mom of Catholic family die in a house fire.

[Jehanne]

As a family, we went through financial hardship a few years ago, and our local government installed smoke detectors in our home free of charge.

So your reasoning is:

Some Catholics are Ron Paul supporters.
Ron Paul is against government assistance.
Because Ron Paul is against government assistance all of his supporters will not accept any government assistance.
You suffered financially and a governmental unit installed smoke detectors for you.
Therefore this Catholic family must have refused to accept smoke detectors for religious reasons.

That fails on so many logical fallacies it's hard to know where to begin.But I'll try.

Just because some A's are B, does not mean that all A's are B.  So the Catholic family has not been shown to be Ron Paul supporters.

A was Y.  A received Z.  But that does not mean all people who are Y receive Z.   So we don't know if this family could gave gotten a free smoke detector.  Do we even know if they were struggling financially?

Many yellow people support X.  A is yellow.  But that doesn't mean all yellow people support X.  So we don't know if this Catholic family supports Ron Paul.  

A supports B.  B is against govermental subsidies.  But it does not follow either that A is against government subsidies or that everyone who is against government subsidies will not accept them personally.

That's at least five breaks in your logical train.

My appeal is not to logic per se, but one of statistics.  In other words, my argument is not deductive but statistical:

1)  Houses sometimes burn to the ground.

2)  Having smoke detectors on every floor is a good thing, in that it allows a family to escape a burning home sooner.

3)  Escaping a burning home sooner will save lives, especially, those of little children.

Conclusion:  Government programs that provide and install smoke alarms in homes of poor people who otherwise could not afford them is a good thing, as it will save lives.

Politicians who oppose such programs are stupid; ditto for people who vote and support such individuals.