Unfortunately, there seems to be a definite lack of pages describing the properties of magic circles. There's not even an index entry for them. So regardless of input, the ruling is going to come down to how you want to run the game.
My answer would be no, the lifting bonus does not apply.
That said, circles pretty clearly fall under blocks, although they are blocks specific to energy and spirits (I am presuming from your question that you are discussing a creature with Supernatural Strength that hails from the Nevernever and is thus partially or wholly spirit, otherwise a circle wouldn't block jack). I don't know that it falls under the rules for Wards, because Wards have definite spells and structure attached to them. In fact, the only bit commentary I can find is a side-note from Bob, which states magical circles should be considered a threshold, but that it shouldn't come up much (see p.230). Still, thresholds work on many levels, but for the purposes of a baddie trying to break through, it's pretty clearly a block.
Now, the question is, do we consider a block as an inanimate object, for the purposes of the lifting bonus. On the one hand, a circle is pretty stationary, and therefore fairly easy to target and take a run on. On the other hand, it's not actually a physical object, even if for something interestingly large enough it'd be easy enough to put their hands around. It's a line which magic and spirit cannot cross, a flat boundary. It'd feel like a wall, sure, but a physical wall is made of things like bricks or drywall that are easily punchable/breakable. A simple wall of will would not be. Per the lore, circles are more a function of willpower, and the spirit creatures that have broken through them have done so with an act of will, not of strength.
If you want the lore examples:
Chauncy, who batters at a circle physically without really getting anywhere. Erlking, whose last attempts to break out take physical form (his sword), but first two attempts do not, and all attempts are felt as an attack on the will of the wizard holding the circle, Harry. Titania, who simply lashes out with will at the meager circle protecting Harry and shatters it.