No we do not all hold that Christ did not die for all mankind. Now we do all hold that only a limited group "receives the reconciliation" available to all mankind, but that is a far cry from the hidden doctrine you are pushing deceptively. Just look at it logically.
either God make SURE that ALL jesus died for and atoned for will get saved, or He did not, which sounds most logical to you?
The Arminian view that we put ourselves in Christ automatically when we believe in Christ, and therefore can also put ourselves out of Christ (forfeiting our salvation) by deciding to withdraw out faith in Christ seems "man-centered." But does this view actually represent the Arminian view or is it a Calvinist mischaracterization?
An elder who held to arminian salvation explained it to me this way!
though its true that God is securly holding/keeping us saved, he loves us so much that he still allows us the freedom to make a final decision to reject jesus, so we can take ourselves out from/of the grace of God!
So think that IF one really does hold to be able to lose their salvation due to God honoring their free will, that tells me that their free will was the basis of them getting saved, Not the Will and working of God!