Reducing the population is simple: education, birth control. Political tools can easily be used for that purpose. E.g., eliminate tax deductions for having children.
It's silly to think we can move even 1% of the population off this planet. The Space Shuttle was on fairly small rockets. They had no where near the necessary amount of energy to launch a shuttle to the moon. Effectively, the space shuttle wasn't much higher than a jet. The moon is 238,000 miles "up." The space shuttle orbited at about 190 to a bit over 200 miles up. Actually, the distance to the moon is 238,900 miles. The amount I rounded off is 4 times the altitude of the space shuttle.
Now, consider how much fuel it took to launch 8 astronauts on the space shuttle. The 135 space shuttle launches came at a cost of 209 billion dollars. A total of 833 crew members rode on the space shuttles during the entire history of the space shuttle; many of those 833 were people who rode more than once. There are 355 different individuals (including cosmonauts) who have been on shuttle flights.
Let's say you want to send 10% of Earth's population to the Mars on a shuttle sized vehicle. Remember, 5 months in space, not 5 days, might be kind of cramped. That's 700 million + people. At 7 people per flight, that's 100 million flights to Mars. Over 20 years... That's 13,700 flights per day. That's one launch every 6.3 seconds, 24 hours a day, 7 days a week, for 20 straight years. And, I've got bad news for you. At current estimated growth rates, that means that by the time you got rid of 10% of Earth's *current* population, the population on Earth actually grew faster than you were shipping people off this planet. You would need well over 10 million flights this year alone, just to keep up with population growth. Sure, you can make bigger ships for these flights. But, the bigger the ship, the more fuel you need. But, you're still never going to send any significant number of humans off planet - not even 1%.