American with all it's great power was not able to spread democracy to vietnam, but some how that little democratic new born jewish nation manage to defend itself successively even though odds were stacked heavily against them.
First, America was hamstrung by political and other reasons which did not allow them to bring our full might to bear against the Republic of Vietnam. If the US Army had been allowed to just "go for it" and blast the Viet cong with our full capacity, political correctness and all that bunk be damned, then the outcome of the Vietnam conflict would have been substantially different. Your premise is flawed.
In the case of Israel, they have the full backing of the US and all its military power. Israel also has much more modern weapons and defense capabilities than most of the other nations allied against them. Do you see the problem with your statement?
IMO, it doesn't in the least way prove, or even show, the bible as anything other than a book of man-made fables and laws written by men.