Also: 1 Timothy 2:4 "Who will have all men to be saved, and to come unto the knowledge of the truth."
And those who don't believe? Mark 16:16 "He that believeth and is baptized shall be saved; but he that believeth not shall be damned."
Jamieson-Fausset-Brown Bible Commentary on 1 Timothy 4:10:
"He is the Saviour of all men potentially (1Ti 1:15); of believers alone effectually."