Do you consider yourself the same person?
Are you even vaguely aware of the definition of “identical twin”?
Noun
S: (n) identical twin, monozygotic twin, monozygous twin (either of two twins developed from the same fertilized ovum (having the same genetic material))
I'm not going to debate the long established medical definition of what a identical twin is with you.
That question you are asking is so obvious a straw man argument it isn't worthy of a response, but to help you understand the obvious
My brother and I have the same DNA (identical) but are two different people.
Identical twins are not clones as your question proposes