Our church does not recognize state marriages, Marriage is in the realm of the church or religion whatever that is.
In as much as your church accepts law, it accepts state marriages.
If for example your Church purchased a property to build a Church building from a couple (not from your church) who only had a “state marriage” it accepted (legally, not spiritually) that state marriage.
Our legal system would collapse if no one accepted the legality of other peoples marriages (be they state marriages or not). While for most marriage certainly is religious....marriage by definition is not JUST religious or private.
Inheritance, adoption, divorce, state benefits, legality of private contracts, etc. ALL involve a legal (state) definition of marriage. See my posts above.