Trump did win the top job, it is the RESPONSIBILITY of his party to at least try to support his agenda...as opposed to spending their time trying to figure out how to drive him out of office.
Yes they should, that they are not fully supporting him should make campaign to replace them in the primaries with those that will support him and his voters. NOT make a deal with the Democrats that have no intention of support the issues he won on.
He need to remember that he won on the strength of the ideas he promised he would enact. How does making deals with the Democrats fulfil any of his promises?