I love the idea of a personal CRM. However, I hate the idea of duplication of effort. If you can't create interfaces to these other apps, then perhaps make sure you create an interface to IFTTT with enough control that would let me aggregate my data (phone calls, emails, etc.) to folks in Monica without user intervention.

in reference to 4) any chance of adding something like pushbullet?

https://docs.pushbullet.com/

A similar service is Pushover. They have an e-mail gateway that allows you to send e-mails to your custom Pushover e-mail address and have it be converted into Pushover notifications. Each user has a @pomail.net address assigned when their account is created, and additional addresses can be created with custom options for each one such as a default sound. Highly recommend it.