Jews consider themselves the descendants of Abraham through Isaac. Both Muslims and Jews worship the God of Abraham. The belief that Jesus is the Son of God rests solely with Christians. True, however it affects believers much more adversely. Doubt threatens the very underpinning of their emotional lives, so it can very rarely be permitted.
Intellectuals welcome and embrace doubt.
Facing up to doubt and dispelling it is how intellectual ideas grow stronger and how understanding increases. Once again, this is true only of a small proportion of believers, not, as you suggest, all of them. Any thinking person, religious or otherwise, views doubt in very much this way. This is undeniably true. But if you are insinuating that all arguments which begin by stating God exists are inherently illogical, that is itself an illogical statement.