Demonstrably false, both historically and in current law. You actually cite civil marriage in your post!

???
As far as I am aware
no country proposes laws that would force unwilling churches to perform gay marriages.
On the contrary, there are religions (e.g. Quakers) who want to carry out legal same sex weddings and it is the Roman Catholic Church that is trying to ensure that they continue to be unable to do so.
marriage is a fundamentally religious institution this is demonstrably true historically, in current law there are parallel institutions, but that does not change the fact that it is fundamentally a religious institution created by God for “it is not good that man should be alone.”
why pick the Quakers. No offense to Quakers but this is not representative of a large population. Why did you not pick Muslim or Jews which are representative of huge populations. I mean Quakers have every right to do as they please as much as a bigger denomination. I only mention it here to point out the logical fallacy of you picking you cases. The vast majority of religious people in America have as doctrines of there faith that these ACTS are fundamentally disordered according to nature and biology and therefore against Gods plan.
As to your ignorance of current happenings I will give you a bi. We will say that you did not read, or missed in reading, the rather lengthy thread. Maybe you came in just now. allow me to give you a few examples (some of which were stated before) of the problems these laws are causing in our greater society.
lifesitenews.com/news/lawsuits-against-churches-inevitable-with-gay-marriage-law-uk-independence
I recommend the entire read but as it may or may not work here is a highlight
“[T]here is a very strong likelihood that the Court at Strasbourg will agree that it is an unlawful discrimination on those grounds and order the United Kingdom to introduce laws which will force Churches to marry gay people according to their rites, rituals and customs.”
The party said it is sure that the current government would “swiftly bend the knee to such a ruling and introduce such legislation” forcing churches to conduct gay “marriages.”
lets have a look at Denmark
asiaone.com/News/Latest%2BNews/World/Story/A1Story20120607-351201.html
here is a highlight but do read the whole thing.
Denmark, a pioneer in gay rights, on Thursday saw its parliament vote overwhelmingly in favour of allowing homosexuals to marry in the state Evangelical Lutheran Church
here we have a parliament voting “overwhelmingly” to destroy freedom of religion in favour of same sex marriage. Never mind that the Evangelical Lutheran church has dogma against it. they must now perform these “marriage” services regardless of there personal feelings.
here is one out of British Colombia where the Knight of Columbus were forced to pay damages to a lesbian couple for refusing to allow the use of there premises for a “wedding” celebration. Unless you are claiming that the Knights of Columbus has no religious affiliation.
bchrt.bc.ca/decisions/2005/pdf/Smith_and_Chymyshyn_v_Knights_of_Columbus_and_others_2005_BCHRT_544.pdf
I could just keep going on this. Churches will be affected by the law even the Catholic church in America is saying that the state has officially made Catholic practice illegal in regards to Obama Care. You don’t think Obama is going to continue to destroy the freedom of religion just because we change the subject do you?
No disrespect intended but INHO sir if you think the answer might be yes you are kidding yourself.