Trump is also threatening the special counsel... I wonder if, when Trump fires Mueller, if the Republicans in Congress will have enough of a backbone to do anything about it.
An interesting question. I think which representatives support Trump will depend greatly on their re-election potential.
Regarding impeachment, the person who's backing matters the most is Trey Gowdy, Chair of the House Oversight committee and a member of the tea party.
He is from one of the safest republican districts, having won re-election with 67% of the vote in 2016. In order for him to allow either censureship or articles of impeachment to proceed he'll need to calculate that a) Trump will definitely lose and b) the alternative (in this case Pence) will be favorable to his goals and re-election over the status quo (DJT). This is a hard sell - while his district is 'safe,' it holds a lot of Trump voters (DJT won there by 25%) Short of some immense pressure from other ranking members (and don't leave our Elijah Cummings) Gowdy can basically stonewall most attempts to hold DJT accountable.
Most of the other GOP members are similarly protected - it will take a LOT for them to turn on their standard bearer and POTUS. Now, if the GOP loses the house in 2018 they'll lose the committee chairs along with it, and I predict articles and limitations to rain down on the WH for months. Here, the risk is that the Dems will go too far, releasing pent-up frustration and turning legitimate concerns into a endless series of petty complaints... and they might lose that argument. It would be similar to how the investigation of WJC wound up focusing on an affair with intern - something the public largely decided was morally reprehensible but not a matter of national security.
This is the cynic in my talking - my personal wish is that, when regarding the
presidency each member acted with what they believed to be the best for the country. But in reality I think each considers what is best for themselves and their constituents, even when the issue is with the executive branch.