Only weak, feeble, darkened minds that ignore context could come with an interpretation that differs from "all kinds of men".
And for your info, the text does not say it's God wills/decrees that all men be saved. It says, rather, that God desires that all men be saved.
How is desiring any different than willing? My will is that you will succeed in life. I desire you to succeed in life.. Paul could of just said all kinds of men, but since he believed in universal atonement he did not.
And if God does desire all men be saved, why doesnt God do it? Could it be because God created us in His image, and part of that image is having that thing you dislike so much, free will to make moral decisions. Without that we are no different than animals. We are in the image of God. That is why we invent things.
My interpretation is straight forward, God does want all to be saved, Jesus is the mediator between God and man, and
no it does not lead to universalism because you must receive the reconciliation. God has already reconciled the entire world, but it is up to us to receive that:
2 Cor 5:19-20
19 To wit, that God was in Christ,
reconciling the world unto himself, not imputing their trespasses unto them; and hath committed unto us the word of reconciliation.
20 Now then we are ambassadors for Christ,
as though God did beseech you by us: we pray you in Christ's stead, be ye reconciled to God.
Simple, read it, believe it. Even in the old testament on the day of atonement just because atonement was made for the entire nation, it did not matter if you didn't humble yourself, the atonement didnt do you no good:
Leviticus 23:28 On this day you are not to do any work, for it is the Day of Atonement, when atonement is made for you before the LORD your God.
29If anyone does not humble himself on this day, he must be cut off from his people.
This once again proves false the calvinist theory that just because God reconciled the entire world and died for the sins of the entire world that everyone is automatically saved. It wasnt that way in the OT and its not that way now. You have to receive the gift of eternal life to be reconciled as 2 Cor 5:20 clearly says and the entire NT witness does too.
Its just so simple you have to be a theologian to not get it. Someone has to be in your ear messing you up. You're not gonna be in a prison cell reading the Bible and coming up with this unless someone tells you this beforehand and inserts the TULIP Grid into your mind.
Oh, and about that total depravity thing which will be brought up regarding free will:
Ecclesiastes 7:29 Only see this: I have discovered that God made people upright, but they pursued many schemes.”