I would say, "Absolutely NOT!!"
The resurrection is, without any doubt, a critical aspect of the gospel. If you do not believe that Christ rose from the dead, you are not saved - period.
The resurrection isn't the only thing that one must believe. There are several things that are necessary. They comprise what I refer to as the "Gospel Proper", meaning that they comprise those doctrines which comprise the barest minimum of what one must believe in order to be counted as one who has believed the gospel and is therefore saved. They are as follows....
- God exists and is the Creator of all things and He is perfect, holy, and just.
- We, having willfully done evil things and rebelled against God, who gave us life, deserve death.
- Because God loves us, He provided for Himself a propitiation (an atoning sacrifice) by becoming a man whom we call Jesus Christ.
- Jesus, being the Creator God Himself and therefore innocent of any sin, willingly bore the sins of the world and died on our behalf.
- Jesus rose from the dead.
- If you confess with you mouth, the Lord Jesus Christ (i.e. openly acknowledge your need of a savior and that He is that Savior (i.e. acknowledge the above stated truths)) and believe in your heart that God raised Him from the dead, YOU WILL BE SAVED.
While I tried to be a concise as possible, I found that it made for easier reading and comprehension if I wrote it in such a way that several of the bullet point statements comprise more than one single doctrine within them. Otherwise, the list got rather long and was harder to follow the logic of them.
I am fully persuaded that a rejection of any one, or any part of one, of the above stated doctrines is a rejection of the gospel and is sufficient to prove that one is not saved.
Thank you, my friend, for approaching this subject with logic and reason, and faith in the words of scripture, in their context. I find that most people commenting here do not have any context to their theology except their own denominational leaders and their writings. They ignore the prophetical and historical context completely and present their arguments as if they live in an eternal now, beginning with themselves. If one notes the passage of scripture that Bro Glen chose, this truth is evident. This passage is written, in context, to gentiles, about God's people Israel, who at the time this was written, with all the history from the cross to Acts 18 when this epistle was penned in AD 58, being past tense.
In light of the Abrahamic Covenant and those covenants to his earthly family that followed, including the New Covenant, there would need to be an explanantion of the histroy that had unfolded since the Lord Jesus had come into the world preaching the gospel of the kingdom of God was "at hand," which later, after the rejection by Israel of him, became the "mysteries" of the kingdom of heaven with a stewardship awarded to his apostles and prophets for the caretaking of his interests while he is away. During this time of God's judicial blinding and cursing of that generation of Jews, who was charged with recognizing and receiving him but rejecting him ("we will not have this man to rule over us"), God is fashioning a "new man," a second and last man, after the figure of Adam and Eve, to dwell in the Paradise with God. He calls it a "house", a family, a church, the bride of Christ, a new man, a new creature, the body of Christ. It has a beginning in Acts 2 and a fullness at the "gathering, the translation from earth to heaven, Ep 2:10; Ro 11:25.
The nation of Israel, the people of God, had been reckoned dead (separated) by God the Father because of their unbelief and rebellion,and eventually was buried in the graveyard of the nations in 70 AD, ending the apostlolic era and the ministry to the Hebrews as a people. They will be buried three days, as God counts days, a thousand years for a day, and will be raised from the dead on the third day, just like God the Son. This should not be a mystery to the careful student of the word of God because God has always reckoned Israel collectively as his firstborn son. The firstbirth always needs a second birth and the coming of Christ was the opportunity for this son of God to be born again. As a matter of fact, Jesus said to a ruler of his people, "except a man be born again he cannot enter into the kingdom of God," in Jn 3. He is speaking collectively here.
Ex 4:22 And thou shalt say unto Pharaoh, Thus saith the Lord, Israel is my son, even my firstborn: (they were born as a physical nation in Egypt but this son must be born again Jn 3:7)
23 And I say unto thee, Let my son go, that he may serve me: and if thou refuse to let him go, behold, I will slay thy son, even thy firstborn.
The church with it's Jewish foundation, OTH, will take on the chararteristics of a gentile entity from this point on.
Ho 6:1 Come, and let us return unto the Lord: for he hath torn, and he will heal us; he hath smitten, and he will bind us up.
2 After two days will he revive us: in the third day he will raise us up, and we shall live in his sight.
3 Then shall we know, if we follow on to know the Lord: his going forth is prepared as the morning; and he shall come unto us as the rain, as the latter and former rain unto the earth.
Rom 11:15 For if the casting away of them (blind Israel in context) be the reconciling of the world, what shall the receiving of them be, but life from the dead? (resurrection)
The figure closest to us of this truth is Lazarus in Jn 11. He was raised from the dead after a two day delay of the coming of Christ.
The death of Jesus Christ saved the world. The figure is the nation Israel. Their ministries are identical. The gentiles cannot be saved without Israel. The truths are intertwined in scripture record by inspiration and taught by the Holy Ghost, who gives us light because he is Light.
No salvation without faith in the resurrection. It is taught and illustrated in many ways.
I assure you, there is absolutely no desperation anywhere in my life, and certainly not on the Baptist Board!! 
Your arguments causes me not a millisecond of desperation.
And none of these men--zero, nada, ない, μη--agree with you. Not a single man.
