I've been through this experience myself, it's the truth! I started shooting an A77 a year ago, and have recently got an A6000. The traditionalist in me has had a few reservations, but the results consistently too what I could get with either of the big two and similar setups. The A77 with 16-50mm 2.8 results are stunning!
Having moving screens and no performance compromise in live view has given me shots I would struggle to get on a traditional DSLR. The EVF on the A6000 is larger than a Canon 70D, and with the live histogram, helps me compose and expose a shot more accurately than a partial coverage mirror and a single EV scale ever could.