What's available to you? Have any Stormsurges?
Looks like he's running a mini-star on bikes which is pretty typical of Iron Hands. No Psykers, but as you say, all those dreads in pods are going to give you a rough time.
Incidentally, I'm going against an IH star this weekend and I'm bringing the most 'Pacific Rim' list possible: two Stormsurges and three Riptides.
For only 5 points, interceptor is a given in most situations vis-a-vis Riptides, Stormsurges, and Ghostkeels -- it's a good plan, and I imagine you'll have at least a riptide or two. The star is going to be difficult to deal with using anything less than S10AP2 pie plates from the pulse driver cannon. Much will depend on his 3++ save rolls. You're better off ignoring the star for as long as possible and trying to clear up the tanks/dreads.
In my experience, a fully-loaded Optimized Stealth Cadre is fantastic at breaking apart Dreads/Preds (anything with AV10/11 in the rear armor.) Three Ghostkeels, two with target locks, will drain the HP on these vehicles easily enough with BS5 ignores cover. Three Ghostkeels in the OSC is one of the best markerlight-independent units in our Codex. Though this formation unfortunately can't reap the benefits while intercepting.
Ultimately, there's tons of options in our 'dex for blowing up things like Preds and Dreads -- you could bring a 52 point dual-fusion MONAT for each tank and dread and still have plenty points to spare. Dealing with his star on bikes will be the challenge: they're extremely mobile, and they're going to be getting in your grill T2/T3 to punch your damage dealers in the face. Fortunately he doesn't seem to have anything giving hit and run (Ravenwing Banner, a staple in other stars) so you'll be able to tarpit him a few turns. You could sacrifice cheap units each turn, wrapping them around the star to force the charge; you could use positional play to block movement with Devilfish or Piranhas; you could even play an aggressive SS with the blastcannon and get into assault. The SS is likely to survive a round or two of combat and get a couple of chances to roll a 6 on the stomp table.
I would focus on MSU against the list, especially if you're playing Maelstrom. Bring a farsight CAD and get some obsec crisis suits -- they don't even need weapons, necessarily, but if you make them fusion MONATs they'll be flexible to either take an objective or drop behind a tank. Ideally both.
Remember to give more details in posts like these regarding mission type, available units, etc.