No, it is macroevolution. 'Species' is a different organism, it just doesn't resemble something too different at the first macro evolutionary jump. Eventually, these separate organisms brach out further, becoming less and less alike untl they exit their 'genus'. The easiest way to explain genus is that organisms of the same genus are alike enough to still mate.
Sorry, but that isn't complete or always accurate. Sometimes members of a genus cannot mate.
The biological species concept states that a species is completely interfertile. That is, members of a sexually reproducing species
do mate and produce completely fertile offspring.
Reproductive isolation -- not mating -- consists of several steps and types:
"Classification of Isolating Mechanisms
1. Premating or prezygotic mechanisms: Mechanisms that prevent interspecific matings.
(a) Potential mates are prevented from meeting (seasonal and habitat isolation)
(b) Behavioral incompatibilities prevent mating (ethological isolation)<BR>
(c) Copulation attempted but no transfer of sperm takes place (mechanical isolation)
2. Postmating or postzygotic mechanisms:
Mechanisms that reduce full success of interspecific crosses
(a) Sperm transfer takes place but egg not fertilized (gametic incompatibility)
(b) Egg fertilized but zygote dies (zygotic mortality)
(c) Zygote develops into an F1 hybrid of reduced viability (hybrid viability)
(d) F1 hybrid is fully viable but partially or completely sterile, or produces deficient F2 (hybrid sterility)
Ernst Mayr, What Evolution Is pg 171
Usually the first step is behavioral and the populations simply do not mate. When that happens, they are already separate species. Now, if you artificially inseminated them at this point, they might produce viable offspring. That is, offspring that can live. Perhaps even artificial insemmination of those offspring back to the parent populations would produce living offspring. Maybe not.
As time goes by, there are genes that code for hybrid fertility and mutations in these genes mean that even artificial insemination is going to produce a sterile offspring.
That correction aside, what you are trying to say is correct: our classification scheme is simply groups of species. So, once you have speciation, you have all of evolution. Getting to a new genus, then a new family, then a new order, a new phylum, even a new kingdom is simply lots of speciation events spread out thru time. No mystery, but just the same processes that produce a new species from an existing one.