One question I had is that is there any authenticity regarding the mount of temptation in Islam which is based in Palestine. In Christian sources it states that Prophet Isa (AS) fasted here for 40 days and meanwhile was being tempted by shaytaan.
Does this have any basis in Islam and is it correct for Muslims to just this place?
Jazakallah khair.

All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.

We are not aware of any mention of this Mount in the Book of Allah (the Quran) or the Sunnah of the Prophet .

Visiting the mentioned Mount is like visiting any other mountain; it is permissible in principle unless there is an Islamic violation in doing so, such as having a corrupt belief regarding the Mount, or that one would be imitating the worship of non-Muslims, or other forbidden Islamic violations.

Allah knows best.