They only pushed Australia because Australia allowed us back into the match. We never had them on the back foot. Even when Deonarine and Nash were batting well, Australia was still odds on. We pushed Australia, of course, but we never dominated any match in the series. That said, we did outplay them more often than not in the second Test. We beat England at home because of a once-in-a-career genius performance by Jerome Taylor, then some good batting on dead pitches. Even so we had to hang on twice and count on the resilience of Edwards to achieve draws. At what point was England on the back foot?
I look at things in a positive light, and I see the improvements and things to be excited about. But even so, it's impossible to say that West Indies dominated any Test match we played last year, with the exception of Sabina Park. After that WI was dominated more often than not, and competed at best. No opposition was on the back foot, let alone Australia. And since you're admitting that we've played well and pushed Australia most recently, why do you think we need to change coaches? Surely it's an indication that, hey, David Williams did pretty well. I just don't understand the obsession with foreign talent.
I'm not saying that local talent should be preferred because it's local. But it should be considered on equal footing if the local candidates are qualified. And as far as I'm concerned Williams is qualified, knows West Indies cricket thoroughly, and has done a good job so far. Leave him be for now. Unless, of course, he doesn't want the job anymore.