Also we beat out his jab by 1 frame I think.
Assuming that yours and our frame data is correct, this is true; Falco's jab hits on frame 2 and ours frame 3.
Falco versus Ike is a hard match-up for Ike; Falco can camp him very well with lasers and chainthrow him until 50% or so for a nice lead. Killing Ike can be a problem for Falco though, since his only good kill moves are his Smashes and BAir, which Ike can shut out well with FAirs and jabs. You can always, however, just gimp him once he's off the stage with the DAir spike (obviously) and edgehogs, since Ike's recoveries are very predictable.
Falco's light weight, however, plays to Ike's advantage; jab canceling can lead to things like jab -> jab combo (17%-ish), jab -> grab, jab -> UTilt (not as guaranteed as jab -> grab), and jab -> BAir (not supposed to be as guaranteed as jab -> grab frame-data-wise, but if you're DI'ing away it can catch you off-guard); all of which spell out either easy damage or potential setups for more damaging blows. Ike can send Falco off-stage easily if the Falco isn't careful, and it's possible (difficult, but doable with practice) to jab Falco out of Phantasm if he tries to go past Ike, which in turn can set up for a spike if Falco tries to up+B.
Watch out for BThrow near the edge; the common reaction to this is to jump and Phantasm, but if the Ike is expecting it they can run off the stage and jump out with a FAir. If you don't DI it properly, you'll be forced to use up+B, which can get Aetherspiked on the Ike's way back up.
Bottom-line: Ike will only win if he can get past the lasers to land some hits and avoid getting hit by a killing move. If he gets in though, he can do some major damage. Even so, it shouldn't be too hard of a match-up for Falco, especially if it's on a stage like FD or Japes. The general consensus at the Ike boards range from 30:70 to 35:65 in Falco's favor.