I don't usually inject immiscible solvents, but I suspect your peaks demonstrate the profile of large injections of immiscible solvents.
The broadness should decrease with injection volume, and issue may not be the resolution or peak shape, but inconsistent peak retention that varies with sample injection volume.
My other major concern would be that some iC8-soluble components of your sample may not be soluble in the mobile phase, which will cause additional problems, such as backpressure or column degradation.
Your integration parameters should cope with the peak shape, and the peak areas should still be the same, but....
It's like standing in the middle of the road, it's possible, but you're relying on other parameters to keep you safe. Far better to stand on the sidewalk.
I would use a smaller volumes of miscible solvent, eg concentrate your samples, as suggested by H.W.Mueller, unless that brings attendent problems - eg sample insolubility. If you can dissolve your sample in a different injection solvent, then ethyl acetate, as suggested by Mark is good, but if you have to use iC8 then concentrating and mixing with IPA or acetone may be preferable.
Please keep having fun,
Bruce Hamilton