The Bush administration certainly did listen to what they wanted to hear. However, what they wanted to hear was also what was available. Had there been serious dissent within the Intelligence Community over whether or not Saddam had WMD, or had we had serious dissent with our key allies on that issue, and he had still made an uncritical case - then yeah, you could accuse him of cherry picking, and he might very well have. The administration was (like our current one) self-reinforcing in its assumptions. But as far as what was available, that did not happen.
Yes, yes we did. Feel free to read the relevant NIE, or, if you like,
a post-mortem of the analytic process that went into that assessment by the guy who did the CIA's post-mortem for the failure to anticipate the Iranian revolution in 1979 and is, himself, a bit of a left-leaning anti-Bush academic.