I agree that Clinton is not a 90s Republican. She is however right of center, especially on economic and foreign policy issues. 30 years ago, she would be a prime Republican candidate. Most of the issues she is on the left about are positions that have essentially been forced on her (Same sex Marriage for example). It is indicative of how far the republican base has moved to the right, that the best the democrats can come up with (Sanders excluded) are actually right of center on most issues, especially when looking at what they have done/proposed vs rhetoric.
I said "moderate" 90s Republican. A key distinction. And the bolded seems to agree (although 30 years is mid-80s, it's pretty close). I also agree that you are right that many of her "liberal" positions are ones that arrived due to political calculus. Honestly, other than "I really, really want to be president", I'm not sure what any of her closely held personal beliefs are. Everything is a political calculation and there is no core theme that shines through consistently. The same is true of Trump of course--he's just much more inartful about it.
While I would be hard-pressed to deny that Bill Clinton and Barack Obama are allies of Hillary Clinton, their policies are not hers. The ACA was based on the Massachusetts healthcare law, passed in a state which had an insurmountable Democratic legislature and signed by a (then) moderate Republican governor.
Clinton has campaigned on women's health issues, climate change, and gun control. These would be difficult to confuse with Republican positions and are issues where she has campaigned to more than Sanders. In addition, if Clinton is Republican, Sanders runs right along side her, as their voting records match over 90% of the time. Clinton has been more hadwkish on foreign policy (and I disagree with her on this), but she also supported ending Congressional earmarks, against Sanders's opposition.
I believe that Sanders has done great things for the Democratic party and has forced Clinton to be a better candidate. I also believe that if he can make his voice and positions a part of the general election campaign, he may do more good in the long term.
You're confusing today's crowd of Republicans and their significant movement to the right for the more reasonable moderates in the party that existed (alongside conservatives too) in prior decades.
She has actively campaigned for the WJC and Obama policies. She is clearly running now to be Obama's 3rd term. I haven't heard her say one negative thing about Obama's policies, except that she would be "more muscular" on foreign policy. She has promised to keep things roughly where they are. She gave speeches supporting the crime bill, saying we need to lock up all those urban "superpredators", etc. She implemented Obama's foreign policy. She voted for wars in the Senate. I think it's fair to link her to policies she has actively campaigned for (and continues to defend) and taken action to enact.
I never said she was an uber conservative or that she never has liberal positions. Just that she has a more moderate 90s Republican style set of positions.
Healthcare? George HW Bush said that we should let everyone buy into Medicaid (i.e. the public option). Hillary opposed that for a long time and then said she would support something similar for middle aged people--a flip flop in the past month or so.
Climate change? Well George HW Bush setup a cap and trade system to deal with pollution. The same system that is proposed now to deal with climate change. If it weren't for all the fossil industry money funding the GOP, they would be OK with a market-based solution like that now.
Gun control? I'm not sure what "liberal" things she's in favor of. Her positions are weak and widely supported by the country. It's just the crazy NRA (which is controlled by gun manufacturers and therefore only wants to drive up sales and no longer cares about things like safety because safety means fewer sales). GHWB tore up his NRA card when the NRA started going nuts. He also banned semiautomatics.
Women's rights? George HW Bush had to publicly be anti-choice, but it's widely believed he was privately in favor of choice. His SCOTUS appointment of Souter could be seen as ensuring that outcome. (Thomas is an interesting one--perhaps he was the only black Republican jurist of sufficiient stature to be nominated) GHWB also appointed a record number of women to positions. He wasn't liberal. A moderate 90s Republican.
She was a "Goldwater girl". She was on the board of Walmart while they were crushing unions. She's not a flaming liberal. She calculates her positions based on perceived political expediency.