Reincarnation is real, there are scripture references to God telling how He will raise up certain same men in latter days;
Technically, that's resurrection, not reincarnation. Reincarnation is when a soul (I think that buddhism talks about one's consciousness, but I'm not entirely sure) is reborn in another organism.
Actually, it's exactly what you say
It is reincarnation by your terms, or Buddhism, makes no diff... you do have the principal correct and I do mean the same thing but I didn't write in length so I'll give a bit more detail, reincarnation concerns the nature of the spirit verses flesh, the spirit is a DNA code written in Heaven, recorded in the Book of Life and this is how God knows the hairs on your head, by your DNA string code, He wrote it, He should know it!
The DNA code is data but in a supernatural form that only God may control, unless satan hacks into our DNA by our permission to allow him when we submit to sin; any particular spirit may not be manifested in flesh until the appointed times. God can reuse any DNA code that He has planned from the Beginning when He drew the Plan of Salvation, nothing changes. This is where it involves Glorified flesh and it's nature, explained in simple terms. Spirits do manifest in flesh and the traits of that spirit or spirits are obvious outwardly and inwardly, one may interpret if he/she have the spiritual discernment to judge the fruits of others.
The satan's formula, or witches brew is better known as "Weird Science"; the movie is a mockery of the Truth. That movie and every other are designed to desensitize the human mind and brainwash them about the Second Coming; most human minds will be depraved beyond the point of no return, in these last-days, they will not be capable of Rightly Dividing the Word, they are then branded with the spiritual marl of beast, while God's children are Sealed with His Signature. This is the agenda of the Antichrist and the false prophet who are church and state systems in our country today. There is a truth about conspiracy theories but none are accurate.You can know what the Truth should be by examining the counterfeits!
Most faiths teach that we should examine only the authentic and not the counterfeits, as this is the same method that Bank tellers are trained. The hidden agenda is that those churches want people to examine only their doctrines and nothing else, and yet, if we examine the counterfeits, we should then see how different they are. The world is so far upside down that the Holy things appear profane, and visa verse.
There's even more but time is limited. God bless