I'm not quite sure if know the answer, but given how you're a hero member....
If I get a desktop for gaming and whatever, and I have this laptop, if I buy an asic miner or something, could I hook it up with my laptop and it wouldn't make a difference if I used my laptop or my pc?
The ASIC miner is doing all the hard work, so it shouldn't matter what kind of computer you use with it. I've never had one before so you'd have to look into how an ASIC is hooked up, but, with my general understanding of computers, I'd say that it could be hooked up to anything which supports its connection without any detrimental effect on the computer it's being paired with.
But aside from that, getting your hands on an ASIC is even harder, and likely much more expensive than having a separate mining and gaming rig.