Categorizing tweets by hashtag onto #WordPress?

This is what I would like to achieve:

I would like to include #hashtags in my tweets,
have my published tweets pulled in through the Twitter API
and have them published as posts (custom post types?) onto my WordPress site,
under categories that I will have set up to correspond with the #hashtags.

For example:

I’d post onto Twitter:

http://atfp.co/1wr1e8r Germany’s Revolution in Small Batch, Artisanal Energy | Foreign Policy #GER #cleantech

and after a little while the same post would appear on my WordPress site under the categories “Germany” and “Cleantech”.

How can I achieve this?

I’ve looked at a few WP plugins that can pull in tweets from the Twitter API. They don’t seem to be able to publish those tweets under WP categories based on #hashtags. Is there a suitable plugin that I’ve missed?

Can this be achieved with conditional statements in the PHP of a category page template?

Is IFTTT any help?

Any bright ideas? Much appreciated!

I just couldn’t resist…

…grabbing this domain name. It’s conveniently short – I might even use it as a URL shortener – and it extends mercy to those who feel challenged to pronounce my surname. So I figured it’s a win-win.