Solskjær took an average team and delivered their first league titles in their 100 year history. With an annual budget of barely £9m he has won an EL group of death featuring Ajax, Fenerbache and Celtic. Also beat the eventual winners Sevilla that year. Teams that Molde really have no rights to beat. They were unlucky not to make it this year after dominating Zenit and deserving to go through. The fact that Molde even are competing with Rosenborg domestically, who financially are on a different level, is totally down to Solskjær.
Howe has done an exceptional job building the club and has been a breath of fresh air ever since he came in. I admire him and his playing style (although can be a bit naive at times) and we need more guys like him in the PL so that dinosaurs like Warnock, Moyes, Hughes etc. can feck off.
My point isn't that Howe doesn't deserve a shot at a bigger club. My point is that Solskjær is a much better fit for the United job than Howe because of his United connection and the start that he has had. Ole is synonymous with United. There is no way Howe should even be on par with Ole for this particular job.
As for who is the better manager, it's a matter of opinion really. Both have done exceptional things in their managerial careers. Better manager doesn't necessarily equal better fit for the United job.