Sorry to disapoint, Poly, but I dropped out of seminary last spring after a prolonged crisis of faith. I’m enormously flattered that you thought to refer someone to me, though! Hopefully, I’ve manged to retain enough knowledge to be useful.
The second belief Wesley Clark proposed is called universalism, which is the origin of the latter part of the name of the Unitarian Universalists. (The former part comes from a different heresy. ;)) It is a reasonably well-pedigreed, if mostly modern, minority position in the church. Some form of universalist beliefs can probably be found in every denomination with a liberal wing and some that don’t. One of my favorite religious stories (sorry, I can’t remember where I read it) is about a Russian Orthodox priest who somewhat secretly believed (or at least hoped) that the revelation Paul mentions in 2 Cor 12 of “things that are not to be told, that no mortal is permitted to repeat” is one of universal salvation.
Besides UUs, you might want to consider Quakers (Religious Society of Friends). Quakerism has a strong element of universalism running through it, and holds that all people regardless of religion, gender, ethnicity, etc., have equal access to God, who reveals his truth to all who listen with their hearts. Meetings (congregations) therefore do not generally require members to profess any belief or doctrine, only to seek spiritual truth. My father is a Jewish atheist who attended Quaker meetings happily for at least seven years while married to my mother. (He would have continued, but my mother won custody of the church in the divorce. ;)) My grandmother is apparently an atheist with strong anti-religious feelings, but nevertheless joined a Quaker meeting and was active in it for several decades. Despite this, I think Quakers generally feel closer ties to their Christian roots than most UUs and most probably consider themselves Christians and Quakerism a Christian denomination, if not orthodox. One Quaker who very frequently used non-Christian language and imagery (especially from Jung and Campbell) explained to me that she did believe that all people approach God through Christ, but that all do not and need not recognize this or acknowledge it with that language.
Also woth noting is that the Roman Catholic Church (as I understand) does not teach that only those who accept Christ are saved. Rather, those who conciously, deliberately, and with full knowledge reject Christ are damned, but those who merely fail to learn the truth for whatever reason may nevertheless be saved through God’s infinite grace.
Finally, although I’d say no Christian denomination (by definition, I would argue) could completely affirm belief (1),* there is within orthodox Christianity a wide variety of emphasis and understanding with regards to what is meant by “Jesus died for your sins” means, and some would reject that as an adequate formula altogether. The theory of substitutionary atonement (that Jesus took upon himself the suffering and punishment that we deserve and thereby met the heavenly requirement of justice) is not without biblical precident, but was relatively quite late in being rigorously defined and attaining prominance. Other theories include that Jesus’ death was a necessary communication of God’s forgiveness, that it was a moral example by which we are made holy and reconciled with God, that it was the perfect sacrifice which fulfilled the Law, that it was a ransom paid to devil to release humans from bondage, that it was part of the process beginning with incarnation and reaching its culmination in the Resurrection of joining human nature with the divine nature and thereby restoring humanity to its original relationship with God, and that it was the beginning and key point in the culmination and fulfilment of the original act of creation.