I shoot Glocks competitively because Glocks are what I carry. Some would say a 1911 has a better trigger for competition shooting, while others wouldn't. I like 1911s, but I don't think they are that much better for IDPA. I can take a Glock and hold my own against most 1911s. There are three divisions in IDPA for semi-autos: SSP (Stock Service Pistol) is for DAs and is dominated by Glocks, CDP (Custom Defense Pistol), which is where .45 1911s go, (although any .45 owner w/ eight rounds in his magazine can shoot CDP), and ESP (Enhanced Servie Pistol), which consists mostly of 9mm 1911s and slightly modified Glock 9mms and .40s. The reason I am explaining all this is to point out that most 1911 and Glock shooters technically don't shoot against each other. In reality, everyone compares their scores to everyone else.
The Glock 34 has a slightly lighter trigger than other Glocks. I am thinking about putting my 19 trigger parts into the 34, mainly because I am so used to that trigger, but also because that gun has 12 or 15,000 rounds through it, and it is slick. Not light, but nicely broken in.
Trust me, you don't have to be a dead-eye shot to compete.