Confusion regarding the correct destination airport between the flight crew and ATC contributed to tardy and rushed descent culminating in a large altitude bust to VMC and a visual approach and landing.

Narrative

On an IFR flight plan from CXP to BAM; a flight of :36 minutes. Pilot flying (me) got behind in the descent. There was a mid level cloud layer. Center confused our destination as EKO upon the hand-off from ZOA. Confusion about the IF/IAF (DIYLA) the fix ZOA had cleared us direct to. ZLC kept giving us clearances to fixes we didn't have on the charts at hand; telling us to expect a visual approach (based on EKO weather). I thought they were still thinking EKO instead of BAM. PNF had been complaining about loud side tone due to recent CVR installation. I'm just wondering if that's part of the problem. Finally heard a clearance from DIYLA to BAM. I queried the pilot not flying and he understood us cleared for the approach. In hindsight; I'm not so sure. We continued inbound on the approach; fast; high; and descending. Both ZLC and I were anticipating a visual approach. We broke out about a mile from the MAP at approximately 8;000 MSL; a good 3000 above the MDA. I had the pilot not flying cancel IFR and we circled to land uneventfully. The last assigned altitude was 12;000. A big bust if it was a bust. Recommend following the following quote from my favorite flying book: 'enter the hold; stabilize; clarify the situation; then do the approach.' Complicating factors: a new program of standardization that has me working overtime to break 14.5 year old habits.