In the official way if you are working in a large company that operates in both countries, they can issue you iqama at 2 countries and you have to pay additional cost of about 1000 i think.
In the un-official way, you can just come to Qatar on visit visa and then convert it to iqama (residence permit) and not ask about it and you are okay.
i had Saudi and Qatari iqama and i used to pass by the land boarder every month and no one asked me anything! however i heard UAE does not allow both iqamas, no idea about kuwait but at least you know there is no objection from Qatar side.