The Trinity: Belief Essential for Salvation?

Can someone who is decidedly non-trinitarian (i.e., one who claims there is no Trinity - no Father, Son and Holy Spirit - but only Jesus) be a Christian? How essential for true, effectual salvation is belief in the Trinity?
Note that I'm not asking whether a correct understanding of the doctrine of the Trinity is essential for salvation (I doubt the thief on the cross had time to formulate his doctrine of the Trinity prior to Christ's telling him that "today you will be with me in Paradise" [Luke 23:43]).
Love to hear your answer or thoughts on this.
"All non-Trinitarian formulations of the Christian message are by biblical standards inadequate and indeed fundamentally false, and will naturally tend to pull Christian lives out of shape." Excerpt from J.I. Packer's Concise Theology (Tyndale House 2001)
More on the Trinity from Monergism.