Short answer: Maybe.
Long answer:
Inter-racial 'mingling' does lead to more homogeneity, but the factors that caused different races in the first place don't go away, so over the long term, as long as people are living in different places and isolate themselves to some degree, they are going to acquire differences, so it will balance out to a point.
I would imagine that there would be less racial diversity over time, but not to a point of one race (as we're defining it here). The fact is that differences in language, culture, geography, education, & social class (and/or wealth) weigh in much more heavily in our dealings with eachother as human beings than racial differences.
It might turn out that we all become racially 'color-blind' to such petty differences before we all homogenize into grey melting-pot clones.
Or at least that's what I hope.
Kane : "Will the elimination of different facial features and skin color really end discrimination or racism?"
My pessimistic view is that if the human race lost superficial ethnic differences to use as an excuse to mistreat one another, they would find something else to use as an excuse. (Shu2jack : "I think humanity will destroy itself first or be destroyed." - also likely given current trends)
"Or is racism based more on national origin?"
Depends on the brand of racism or other bigotry that a person subscibes to, and that depends on that person's own level of ignorance, which itself depends on self-imposed isolation (physically or mentally).
I think at the core, people are naturally distrustful or at least cautious about things that are different from themselves. It is an automatic self-defense response. It isn't always rational, but rationality depends on having information. When that information isn't there, we default to fear of the unknown.
Therefore, racism is more like a phobia - an irrational fear caused by ignorance and reinforced by strong emotional response.
2004hemi: "Well given what we do know of our universe to date, humans will at some point be forced to leave Earth due to many factors.
The biggest being that the sun in our solar system has a life span and at some point its life will end."
Given the estimates and probabilities I've seen, I think we are more likely to be wiped out by a serious of asteroid impacts and global-climate change than we are from the sun blowing up (which isn't likely to happen for another 5 billion years - slightly longer than life itself as we know it has existed on this planet.
"People living on Mars may look different and have other abilities than those on Earth."
Yeah, think of how much higher you can jump with less gravity! Wee! Less strain on the spine too - people will probably be taller.
"But as the life of the sun ends we would have to leave this solar system to find a new star (sun) being that stars are so far away humans as we are today could not make at trip into space that would take hundred or thousands of years just to reach the destination."
Accelerating at the same rate as earthly gravity, the speed of light can be reached in about a year. To conserve fuel, and to avoid nasty relativistic effects, I would recommend turning off the engines at around half the speed of light. At that speed, we could reach the next-nearest star in under ten years.
"... the Human race as a hole ..."
That's poetic.
"... matures and undergoes radical changes discrimination, hate, war, and many other flaws that we face today will end."
Yeah, "radical changes" like acquiring intelligence, being reasonable, having more courage, encouraging more logical, rational thinking as opposed to emotionally-induced violent outbursts...
I don't think we simple animals are up to the task. I guess we just have to wait for the Borg to assimilate us.
Kenpodoc: "We are the same race."
See, it's that irony that makes the whole idea funny. Or at least it would be funny if it weren't so tragic and disgusting.
shesulsa: "...even if the entire globe became one political entity (which it very may well be right now and we haven't been informed)."
What, you didn't get the memo?