Does not work with HTTPS

I am trying to use this plugin to work on one of my sites which also has HTTPS active (using the WordPress HTTPS plugin), but I get the memory warning error when viewing the page with SSL enabled.

On a duplicate site with SSL disabled it all works.

The error says:

You are trying to open a translation catalog which expands above your PHP Memory Limit at 0 MB during read.
Please enable the low memory mode for opening this components catalog.

And the following errors in the JS (from the Webkit inspector):

The page at https://www.example.co.uk/wp-admin/tools.php?page=codestyling-localization/codestyling-localization.php#mo-list-16 displayed insecure content from http://www.example.co.uk/wp-admin/admin-ajax.php.
XMLHttpRequest cannot load http://www.example.co.uk/wp-admin/admin-ajax.php. Origin https://www.example.co.uk is not allowed by Access-Control-Allow-Origin.
The page at https://www.example.co.uk/wp-admin/tools.php?page=codestyling-localization/codestyling-localization.php#mo-list-16 displayed insecure content from http://www.example.co.uk/wp-admin/admin-ajax.php.
XMLHttpRequest cannot load http://www.example.co.uk/wp-admin/admin-ajax.php. Origin https://www.example.co.uk is not allowed by Access-Control-Allow-Origin.
Refused to get unsafe header "X-JSON"

There is some more info about admin-ajax not working over https here http://core.trac.wordpress.org/ticket/19707 please can you let me know if there is a fix?

http://wordpress.org/extend/plugins/codestyling-localization/