"All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness: That the man of God may be perfect, throughly furnished unto all good works." (New Testament, 2*Timothy, 2 Timothy 3:16-17)
The Scriptures make it clear that all people are fallen and sinful. Scripture also says that if it were not for God who makes the first move, all people would remain lost forever. Fortunately for us, a loving God condescends or reaches down to draw us; rescuing/saving us from our fallen state. God draws us to Christ and Christ lifts us up (John 6:44).
I think the scriptures make a distinction between an initial rescue, salvation, justification and sanctification and a later "lifting up" and final perfection in Christ that comes only after a life-long process of striving, obedience, devotion, enduring, long-suffering, and consecration.
2 Tim 3:16-17 Paul tells Timothy that the man of God (who has already been saved/rescued) only "may be perfect" , if he makes use (Alma 60:14) of the scriptures for doctrine, correction, reproof, and instruction in righteousness.
A few Evangelicals take issue with LDS salvation because most LDS are really talking about working towards their "future perfection in Christ" and not their initial redemption/rescue/salvation. But LDS should have no problem talking with evangelicals about the assurance in our initial salvation. Nephi talks about his redemption in the Book of Mormon:
I glory in plainness; I glory in truth; I glory in my Jesus, for he hath redeemed my soul from hell. (Book of Mormon, 2 Nephi, 2 Nephi 33:6)