Wow. You’re really missing the point. First, I’m not saying that at all. In fact, as a Catholic I would oppose the imposition of Sharia law on both moral and religious grounds, and vote accordingly.
Second, I’m not advocating the voting in of Catholic dogmas. My point was just the opposite - gay marriage is not a “Catholic” dogma issue although it is consistent with Catholic moral teaching. Rather, it is a natural law issue, just as criminal laws against murder, rape, and incest are natural law issues consistent with Catholic moral teaching.
Third, I’m not saying that Muslims don’t have a right to advocate for laws that are consistent with their own moral teaching. Indeed, I would expect that Muslims who oppose abortion, euthenasia, and gay marriage, would vote on such measures consistent with the dictates of their own conscience. But that is a far cry from my stating that I would roll over and accept Sharia law. To the contrary, such a position seems consistent with your own position - i.e. Catholics shouldn’t legislate their own Catholic morality, but if someone wants to legislate their different morality, we can’t say no. (Please let me know if I’ve misrepresented your position. But this seems to be what you are saying above.)
Fourth, the imposition of Sharia law has all kinds of 1st Amendment (Establishment Clause) issues attached. I don’t see how opposition to the re-definition of marriage raises such issues, since traditional marriage is a consistent practice far beyond the visible boundaries of the Catholic Church.
Peace,
Robert