No, anonymous voting is not possible yet.

Tags suggestion issue has been solved, you can download master branch from GitHub, https://github.com/anspress/tags-for-anspress

You cannot override a function like that. instead use this: https://gist.github.com/rahularyan/f2bc0d8443b18cdc2b8a

Yes it can used in high traffic site and lots of site already using it. Check documentation for more detail.

Oh, I misunderstood your question. This cannot be done without core hacking. Download latest master branch from https://github.com/anspress/anspress and then edit user.php file: user.php and remove line 199 to 203. Cheers.

This feature will be introduced in upcoming version of AnsPress, you can use anspress shortcode to display any specific page.

Brought category extension? from where? Its free! Its look like your page slugs are not correct, fix them and save your option once.

No, thats custom HTML. its cannot be added to AnsPress cause its a theme feature.

I Think they uses same CPT as AnsPress, so all existing question, answer and comments will be visible in AnsPress.

How to disable AnsPress user profile