That's a Hobie Kayak. They are very stable. In calm seas it would be very hard to "fall out".
What tackle are you using? I have an Ocean Kayak Prowler I am rigging for fishing for an alternative to my Lund Impact.
There are many kayaks designed for fishing that are very stable, and not as expensive as the Hobie line. I got mine for less than a grand. Even has a mount in the bottom for a transducer and a mount for a battery. You can also get trolling motors on them.
With $4+ gal gas, I think you'll see many more kayaks out fishing.