I may need to apply for a second number, because I'm now the proud owner of a Basilisk.
Initial thoughts compared to the XD2? They're a lot of the same, but voiced slightly differently. Comparable settings yield a slightly darker sound on the BL1, but the character is similar enough to really not warrant a side by side comparison. A few more seconds of knob twiddling and you'd end up at the same place between the two. The BL1 also seems to have a noticeably higher output level than XD2, but it doesn't make the knob touchy - 1/3 up on the XD2 is ~1/4 up on the BL1. Still plenty of room to get precise.
The second channel? Well, its a more saturated version of the first channel. Same gritty drive, just more of it.
Since there aren't a whole lot of audio or video examples available on the nets, I slapped together a quick and dirty set of comparison recordings with bypassed, channel 1 and channel 2 samples. Same settings between the ch1 and ch2 recordings, and all three roughly level matched.
Signal chain: G&L SB1 -> BL1 -> REDDI -> LIO8 -> LPX
No impulses, and wasn't aiming for perfection on the playing.