While I really like Velikovsky and have read 3 or 4 of his books, many decades ago, his hypothesis of Thutmose III/Hatshepsut and Solomon is off by about 500 years. Thutmose III lived in the 1400s BCE and Solomon lived in the 900s BCE. In one of his books he wrote about the great masses of animal bones found in Canada (and perhaps Alaska) all tangled together. When I read the book by Firestone, et al (https://www.amazon.com/Cycle-Cosmic-Catastrophes-Stone-Age-Changed/dp/1591430615), this report by Velikovsky made perfect sense. This links below have detailed and fascinating information on the entire subject of cosmic earth strikes and the many who have contributed or argued about this still controversial and worrysome subject. The first link is the general detailed discussion with many references. The second link covers the Firestone, et al arguments.
http://atlantipedia.ie/samples/tag/richard-firestone/
http://atlantipedia.ie/samples/firestone-richard/
Thutmose III lived in the 1400s BCE and Solomon lived in the 900s BCE.That was Dr. V's point -- the dating of much of the New Kingdom is off, padded by hundreds of years. Hatshepsut's voyage to Punt has been headed toward the exits, despite the documentation in bas relief (and recently, ropes used for Egyptian ships were found, piled in a cave on the Red Sea; they've been attributed to her voyages, but they haven't been RC dated AFAIK -- the still-influential Zahi Hawass claims that RC dating "doesn't work" in Egypt, a nutty belief probably based on the fact that RC dating of these very kinds of finds contradict the conventional pseudochronology). This growing denial of the Punt voyage is likely due to the fact that there is no candidate for Punt. It's interesting, because the port official who rec'd her and her expedition at Punt is named, and his name shows up again in just one place -- the Old Testament in Solomon's time. There is no such validation of the conventional dating.
That’s where the “crank” part comes in. Velikovsky inserts 500 years into Egyptian chronology (he extends the Hyksos occupation by 500 years), which moves the Egyptian New Kingdom period to be contemporaneous with David and Solomon. This solves many issues with lack of synchrony between Egyptian and Israelite history. For instance, Thutmose III records his conquest of the Holy City (Kadesh) on his temple tomb walls at Karnak, including what appears to be the loot from Solomon’s Temple, which didn’t exist in 1400s. The only Jewish record that matches is that of Pharaoh Shishak’s conquest of Jerusalem and his looting of the Temple during the 5th year of King Rehoboam. Similarly, history records no “Queen of the South” that matches the Biblical Queen of Sheba other than Hatshepsut. So it kind of hangs together and makes sense, at least to this layman.