There are so many nationalities in Dubai, that you really should fit in! My friends are of all colours and nationalities. That said, there are different cultures in different compnaies, but would you want to work for one that treated you differently according to the colour of your skin? Most companies employ people of many nationalities - that is one of the best things about Dubai, the cultural mix.
I doubt you would have any problems, but I would warn you that your husband is, sadly, the one that may face some prejudice. This is because most of the labourers are from the Indian sub-continent and if he is casually dressed it it possible that he may come across some narrow-minded people who will assume he is a labourer and treat him differently. Only some mind you , and I know people of Indian and Pakistani origin who hold senior positions in companies without difficulties.
One other point - please don't imagine that the pace of life is slower here. For many people that is not the case at all. In certain fields, working hours and long and pressured.
I do hope I haven't put you off, but I do like to tell it how it is. Don't let a few idiots spoil things for you. If you both have experience and talent you should be able to get good jobs in Dubai.
Good luck with your plans
-