Baptism: Can one be saved and not be baptized?

If it is in God's will that one must be baptized to be saved, then one cannot be saved without being baptized. I think we can all agree who it is that will be saved.  Matt. 7:21 "Not every one that saith unto me, Lord, Lord, shall enter into the kingdom of heaven; but he that doeth the will of my Father which is in heaven". Surely we all can agree that it is the one that does the will of the Father who will be saved. The question then is, does the will of the Father include baptism as a condition of salvation? 

Who has the authority to make known the will of the Father? Is it not Jesus?  Consider these verses:  John 6:38 "For I came down from heaven, not to do mine own will, but the will of him that sent me".   John 8:26-27  "I speak to the world those things which I have heard of him. They understood not that he spake to them of the Father".   John 15:15 "for all things that I have heard of my Father I have made known unto you". 

It is very obvious from the verses above, that it is Jesus who has the authority to make known the will of the Father. Jesus spoke those things he heard of the Father, i.e., he spoke the Father's will to mankind. When Jesus spoke the words, "he that believeth and is baptized shall be saved", he was speaking of what he had heard from the Father, i.e., the Father's will. Who is it that will be saved? Is it not those who do the will of the Father? Since "he that believeth and is baptized shall be saved" is the will of the Father, can anyone be saved without being baptized?  If someone reasons in their heart that man can be saved without being baptized, then they also need to reason in their heart as to why they think such. Finally, it cannot be made any clearer than I Peter 3:21 where it says, "baptism doth also now save us".