In reply to Removed Usersimongwyn:
Hi,
yes you can do a day-trip from Bishkek to Ala Archa, but then use a taxi and ask the same taxi to pick you up in the evening (there is no taxis in Ala Archa). It takes about 3-4 hours for a fit person (without rucksack) to walk to the mountain base (I guess if you are fell runner you could run) and then another 4-5 hours to Peak Uchitel (4526m). I think the peak you mentioned is a lower peak of Peak Uchitel (not sure). If you are fit enough (and can manage the altitude!!!) you should climb Peak Uchitel - it is literally a walk on gravel and snow (no glacier) - and it is a common peak for trekkers to climb. Just hope for good weather and no snow on the path to get you lost..
Some information about Ala Archa is here:
http://alpinefund.org/Ala-Archa%20guide.html