Could you be more specific about the issue you are facing with Chrome and Family Protection?
Well for starters
1) Web page loads slowly on Chrome, takes upto 5min compared to IE8 or when MFP is off
2) Sometimes web pages are blocked due to some rule but that info is not displayed on Chrome and looks as though page is going to come up but never does
3) Impacts the browser performance like a new tab opening takes long time or scrolling on existing page does not work or cannot click on links
4) Browser hangs/unresponsive and need the process to be killed mostly events due to #3 above
When MFP is off life on Chrome is easy.
Has the performance improved after the release of 2.3?