Hi, the complete dataset underlying the browser can be downloaded in different formats, or accessed through their data slicer tool.

The 1000 genomes DataSlicer tool is available here; http://www.1000genomes.org/data-slicer.

And raw dat file locations are listed here; http://www.1000genomes.org/data

From your question I think vcf files with genotypes are what you are looking for, which are available here;

ftp://ftp-trace.ncbi.nih.gov/1000genomes/ftp/release/20110521/

The files can be downloaded per chromosome and using tabix (http://samtools.sourceforge.net/tabix.shtml) you can extract the desired genomic positions.

Answers to these types of questions are often also listed on the projects FAQ page;

http://www.1000genomes.org/faq