As MLS mentions, the difficulty in establishing reproductive self-containment of populations in H. sapiens , what with our high mobility and populational density, makes speciation difficult. So what you get is a dilution of mutations and at best a gradual spread of traits within the H. sapiens species, w/o triggering a speciation. And it takes a bit to do that anyway – species, once they exist, are remarkably stable.
Of course, now we can contemplate the possibility of deliberate alterations to the genome – but IMO there would be such severe political and social obstacles to having the “new, improved people” speciated away from the general population, that we would end up instead with with H. sapiens 3.0, or H. sapiens++, but still H. sapiens.
(BTW, as to speciation requiring “eons of time” – not necessarily, on a geologic scale. Gradualism vs. punctuated equilibrium is still a lively debate)
A lot of the biological “changes” we are seeing recently (which the OP mentions) are more the result of genetic " expression" of traits that had been environmentally suppressed – and are triggered by such factors as richer diets, longer lifespans, less physical labor, and environmental exposures. Others, such as how we can react to a faster paced flow of information, but cannot count on recalling from memory entire oral-tradition epics and the histories of our entire families, are the result of brainpower resources being redirected.
Technological improvements, such as integration of technology to the biology, are a potential source for many changes in how the human functions – and this may de-facto create some reproductive incompatibilities if the body is modified enough: but if the birth genes are still in the same 46 chromosomes and you could still breed true with any other human except for physical hindrances, it’s not speciation, it’s specialization.
So yes, man will likely continue to change – adaptation and all that, stagnation and populational uniformity being risky survival strategies and why make work easy for extinction. But macroevolutionary arising of a distinct “Homo somethingelse” is hard to foresee in the near term. In any case, " we" would not actually “evolve into” anything – a population of H. sapiens could give rise to a new speciation event in genus Homo, out of which would evolve H. somethingelse: if it successfully establishes itself, that new species may be fruitful and multiply and outlive H. sapiens’ own extinction so that it would look like sapiens evolved “into” somethinglese.