Well, actually, contrary to the responses here, the article does suggest that the platform of the Texas Republican party would favor the imprisonment of homosexuals.
First: the platform asks that the Federal courts be restrained from striking down state sodomy laws--in other words this means that the laws (outlawing homosexual behavior) would reappear on the books, allowing states to imprison gay people (at least the ones having sex).
Second: it calls for the act of issuing a marriage license to a gay couple to be made a felony. This means the person issuing the license will be liable to imprisonment, but additionally it is generally illegal to ask anyone to commit a felony. Thus making the person who issues the license a felon also means that the person asking for the license committed the crime of solicitation.
Now of course if these measures were on the books and sodomy laws were (again) the law of the land, it would probably not lead to widespread imprisonment, but it would give a blank check to law enforcement to harass the crap out of us (again).