You should be just fine with that combination of subwoofer and satellites. They're actually made by the same parent company (Mirage and Energy are both owned by Klipsch). The recommended crossover for the Take 5 satellites is between 100 and 120 Hz, and the Omni S12 is adjustable up to 120 Hz so it will definitely extend high enough into the mid bass to match the satellites' output. Setting any subwoofer above 110 or 120 Hz is not a good idea anyway, as bass frequencies are more directional at higher frequencies and this can detract from the illusion that the bass is coming from the main speakers.
I wouldn't put the sub right in a corner or up against a wall, though as this would probably make the bass overly boomy. You might have to experiment a bit with sub placement to get the best results but really this is true for any subwoofer and speaker combination.
Not sure if you're seen the Amazon deal, but they have the Take Classic 5 pack for under $200 delivered which is a great deal for these speakers. Purchases via our links help to support the forum. Here's the link:
Amazon.com: Energy Take Classic 5 Pack 5.0 Home Theater Speaker (Black): Electronics
The co-founder of BPBS Joe Lozito has a set of the original Take 5 system and he's very happy with them.
Regards,
-Chris