Another one... Kickboxing / competitive fighting???

I think kickboxing will give you some good skills for long and medium range fighting. The distance and strategy is a little closer for wrestling and grappling and as long as you work at learning how to make those adjustments you should be fine. Some people don't think about such things or have trouble with that but the fact that you asked this question and are thinking about this tells me that you should be fine once you learn how and what adjustments to make as that distance changes and you close the gap with your opponent. Skills at long, medium and short range together with wrestling and grappling aspects will make you much more rounded and make you a much more complete martial artist and capable of defending yourself.