Is there any way to make Chrome behave similarly to the Firefox TabMix Plus extension?

In particular, I would love for it to open whatever I enter into the address bar in a new tab by default. Any ideas?

I'm not 100% sure that this is what you want to do..

You can easily open whatever is written in your omnibar inside a new tab by clicking with CTRL + left mouse button on the "arrow" button (on the far right of your bar).
You can also use the middle mouse button.

Without using the mouse, you can also type something in the address bar followed by ALT + ENTER.

I hope that this is what you're looking for,

Kyrax.

Ok, not a permanent setting but that will do. Thanks!