point taken...bit too harsh tho...

anything is possible in narutoverse...like who would have thought that kushina was the previous kyuubi host, right? with that theory of yours, the naruto-senju could be possible but only up to that level of "possibility". Yeah, even in narutowiki, the senju clan do not exist in its entirety, no one alive today has the name senju in there...the only recorded in the narutoverse is the 1st and the 2nd hokage... yeah, somewhere along the gene pool the name senju got replaced by another family or whatever... but come to think of it, if the senju were the originator of the konahagokure, how come the family name was erased throughout the years? And, 2, how come we have a whole bunch of uchiha still alive (till itachi erased them).
"It is unknown if the Senju clan currently still exists as an organization. There are no known people with the Senju name currently alive, although the Fifth Hokage, Tsunade, might be an official Senju. It is very possible that the Senju clan disbanded into smaller clans and families, especially since they never had a specific skill or technique like the Uchiha or Hyūga clans. However, their legacy lives on strongly in the hearts of the people of Konoha." -narutopedia
so with your theory, it is possible that naruto may have come from a bloodline of the senju clan...if naruto's dna would be checked, somewhere in that spiral code of protein, a senju might possibly swing by...but let me jst make it clear, if and only if, but the traces, if ever any, would be far too little to influence that naruto is a descendant of the senju... why? let me explain this to my own level of knowledge... say for example, like what you said that bush thinngy. 50% of each of the parents gene are, generally, distributed to make up the 23 chromosome, more or less. So, if george bush had a daughter then that daughter married a, say for example, lincoln, the child would have at least 12.5% of george bushes' dna. if that child is a girl then marries again, their child would have less than 1% of george's dna... see what i mean? in the 4th generation of from george bush, only 1% of his own dna is acquired...

even though the bush's great grandchild has his own dna, but what is 1%, close to negligible! therefore, your theory of change in family is true but it will unlikely be the case...
but who knows, anything is possible, right?
ps. this is the reason why, in my previous post, i don't believe in naruto as a descendant of the best clan there is in narutoverse, unless dear ol' kishi says it so..