Of course not. If that were the case, then there would be no such thing as fornication, since having sex would just make you married by default. Further, if that were the biblical view, it wouldn't make any sense for Moses to command a man to marry a woman he had defiled. That would be silly to command you to marry someone you were already married to. And further, this is why fornication is such a terrible thing. You are taking something that should only exist in the context of marriage and ripping it out of that context (with pretty big consequences!). No, you marry first and then you consummate the marriage.
Hmm.. I thought that's why there is such a thing as fornication, to show that to be so personal with someone else, is a responsibility on top of a (hopeful) pleasure, programmed into us by Him. Another way to denature one's self would be to do what that man did Moses told to marry. Do you think the man defiled her because it was selfish gain or because he wasn't married yet? I'd hope his treatment of her as a human would change, but how would it if there was just the 'penalty' of marriage?
And Paul, Paul makes it very clear that he is not saying not to associate with unbelievers who are sinners but not to associate with professing believers who are living in open sin. Moreover, the next letter in which he refers to the pain he caused them is far from an apology. He's saying the tone was necessary and ultimately successful because it produced repentance.
What about closed sin? What about a sin that seems to not go away and He's not taking away but you're always repentant and not giving up?
There's nobody more grace-oriented than me. I, then, implore those interested in God's grace not to pollute it by suggesting that it means that Christ's body need not be holy, that churches can or ought to tolerate sin in the body. The Bible everywhere, both OT and NT, speaks against such an attitude. That is an attitude that destroys churches.
I believe any form of leader has a higher responsibility to show a Christly life. The details? Well, that's getting into an area that's not my playground and don't feel the need to get into.